{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Gaussian Mixture Model\n",
    "\n",
    "This is tutorial demonstrates how to marginalize out discrete latent variables in Pyro through the motivating example of a mixture model. We'll focus on the mechanics of parallel enumeration, keeping the model simple by training a trivial 1-D Gaussian model on a tiny 5-point dataset. See also the [enumeration tutorial](http://pyro.ai/examples/enumeration.html) for a broader introduction to parallel enumeration.\n",
    "\n",
    "#### Table of contents\n",
    "\n",
    "- [Overview](#Overview)\n",
    "- [Training a MAP estimator](#Training-a-MAP-estimator)\n",
    "- [Serving the model: predicting membership](#Serving-the-model:-predicting-membership)\n",
    "  - [Predicting membership using discrete inference](#Predicting-membership-using-discrete-inference)\n",
    "  - [Predicting membership by enumerating in the guide](#Predicting-membership-by-enumerating-in-the-guide)\n",
    "- [MCMC](#MCMC)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "from collections import defaultdict\n",
    "import torch\n",
    "import numpy as np\n",
    "import scipy.stats\n",
    "from torch.distributions import constraints\n",
    "from matplotlib import pyplot\n",
    "%matplotlib inline\n",
    "\n",
    "import pyro\n",
    "import pyro.distributions as dist\n",
    "from pyro import poutine\n",
    "from pyro.infer.autoguide import AutoDelta\n",
    "from pyro.optim import Adam\n",
    "from pyro.infer import SVI, TraceEnum_ELBO, config_enumerate, infer_discrete\n",
    "\n",
    "smoke_test = ('CI' in os.environ)\n",
    "assert pyro.__version__.startswith('1.2.0')\n",
    "pyro.enable_validation(True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Overview\n",
    "\n",
    "Pyro's [TraceEnum_ELBO](http://docs.pyro.ai/en/dev/inference_algos.html#pyro.infer.traceenum_elbo.TraceEnum_ELBO) can automatically marginalize out variables in both the guide and the model. When enumerating guide variables, Pyro can either enumerate sequentially (which is useful if the variables determine downstream control flow), or enumerate in parallel by allocating a new tensor dimension and using nonstandard evaluation to create a tensor of possible values at the variable's sample site. These nonstandard values are then replayed in the model. When enumerating variables in the model, the variables must be enumerated in parallel and must not appear in the guide. Mathematically, guide-side enumeration simply reduces variance in a stochastic ELBO by enumerating all values, whereas model-side enumeration avoids an application of Jensen's inequality by exactly marginalizing out a variable.\n",
    "\n",
    "Here is our tiny dataset. It has five points."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = torch.tensor([0., 1., 10., 11., 12.])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Training a MAP estimator\n",
    "\n",
    "Let's start by learning model parameters `weights`, `locs`, and `scale` given priors and data. We will learn point estimates of these using an [AutoDelta](http://docs.pyro.ai/en/dev/infer.autoguide.html#autodelta) guide (named after its delta distributions). Our model will learn global mixture weights, the location of each mixture component, and a shared scale that is common to both components. During inference, [TraceEnum_ELBO](http://docs.pyro.ai/en/dev/inference_algos.html#pyro.infer.traceenum_elbo.TraceEnum_ELBO) will marginalize out the assignments of datapoints to clusters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "K = 2  # Fixed number of components.\n",
    "\n",
    "@config_enumerate\n",
    "def model(data):\n",
    "    # Global variables.\n",
    "    weights = pyro.sample('weights', dist.Dirichlet(0.5 * torch.ones(K)))\n",
    "    scale = pyro.sample('scale', dist.LogNormal(0., 2.))\n",
    "    with pyro.plate('components', K):\n",
    "        locs = pyro.sample('locs', dist.Normal(0., 10.))\n",
    "\n",
    "    with pyro.plate('data', len(data)):\n",
    "        # Local variables.\n",
    "        assignment = pyro.sample('assignment', dist.Categorical(weights))\n",
    "        pyro.sample('obs', dist.Normal(locs[assignment], scale), obs=data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To run inference with this `(model,guide)` pair, we use Pyro's [config_enumerate()](http://docs.pyro.ai/en/dev/poutine.html#pyro.infer.enum.config_enumerate) handler to enumerate over all assignments in each iteration. Since we've wrapped the batched Categorical assignments in a [pyro.plate](http://docs.pyro.ai/en/dev/primitives.html#pyro.plate) indepencence context, this enumeration can happen in parallel: we enumerate only 2 possibilites, rather than `2**len(data) = 32`. Finally, to use the parallel version of enumeration, we inform Pyro that we're only using a single [plate](http://docs.pyro.ai/en/dev/primitives.html#pyro.plate) via `max_plate_nesting=1`; this lets Pyro know that we're using the rightmost dimension [plate](http://docs.pyro.ai/en/dev/primitives.html#pyro.plate) and that Pyro can use any other dimension for parallelization."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "optim = pyro.optim.Adam({'lr': 0.1, 'betas': [0.8, 0.99]})\n",
    "elbo = TraceEnum_ELBO(max_plate_nesting=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Before inference we'll initialize to plausible values. Mixture models are very succeptible to local modes. A common approach is choose the best among many randomly initializations, where the cluster means are initialized from random subsamples of the data. Since we're using an [AutoDelta](http://docs.pyro.ai/en/dev/infer.autoguide.html#autodelta) guide, we can initialize by defining a custom ``init_loc_fn()``."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "seed = 7, initial_loss = 25.665584564208984\n"
     ]
    }
   ],
   "source": [
    "def init_loc_fn(site):\n",
    "    if site[\"name\"] == \"weights\":\n",
    "        # Initialize weights to uniform.\n",
    "        return torch.ones(K) / K\n",
    "    if site[\"name\"] == \"scale\":\n",
    "        return (data.var() / 2).sqrt()\n",
    "    if site[\"name\"] == \"locs\":\n",
    "        return data[torch.multinomial(torch.ones(len(data)) / len(data), K)]\n",
    "    raise ValueError(site[\"name\"])\n",
    "\n",
    "def initialize(seed):\n",
    "    global global_guide, svi\n",
    "    pyro.set_rng_seed(seed)\n",
    "    pyro.clear_param_store()\n",
    "    global_guide = AutoDelta(poutine.block(model, expose=['weights', 'locs', 'scale']),\n",
    "                             init_loc_fn=init_loc_fn)\n",
    "    svi = SVI(model, global_guide, optim, loss=elbo)\n",
    "    return svi.loss(model, global_guide, data)\n",
    "\n",
    "# Choose the best among 100 random initializations.\n",
    "loss, seed = min((initialize(seed), seed) for seed in range(100))\n",
    "initialize(seed)\n",
    "print('seed = {}, initial_loss = {}'.format(seed, loss))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "During training, we'll collect both losses and gradient norms to monitor convergence. We can do this using PyTorch's `.register_hook()` method."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "...................................................................................................\n",
      "..................................................................................................."
     ]
    }
   ],
   "source": [
    "# Register hooks to monitor gradient norms.\n",
    "gradient_norms = defaultdict(list)\n",
    "for name, value in pyro.get_param_store().named_parameters():\n",
    "    value.register_hook(lambda g, name=name: gradient_norms[name].append(g.norm().item()))\n",
    "\n",
    "losses = []\n",
    "for i in range(200 if not smoke_test else 2):\n",
    "    loss = svi.step(data)\n",
    "    losses.append(loss)\n",
    "    print('.' if i % 100 else '\\n', end='')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1000x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pyplot.figure(figsize=(10,3), dpi=100).set_facecolor('white')\n",
    "pyplot.plot(losses)\n",
    "pyplot.xlabel('iters')\n",
    "pyplot.ylabel('loss')\n",
    "pyplot.yscale('log')\n",
    "pyplot.title('Convergence of SVI');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pyplot.figure(figsize=(10,4), dpi=100).set_facecolor('white')\n",
    "for name, grad_norms in gradient_norms.items():\n",
    "    pyplot.plot(grad_norms, label=name)\n",
    "pyplot.xlabel('iters')\n",
    "pyplot.ylabel('gradient norm')\n",
    "pyplot.yscale('log')\n",
    "pyplot.legend(loc='best')\n",
    "pyplot.title('Gradient norms during SVI');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here are the learned parameters:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "weights = [0.375 0.625]\n",
      "locs = [ 0.49887404 10.984463  ]\n",
      "scale = 0.6514337062835693\n"
     ]
    }
   ],
   "source": [
    "map_estimates = global_guide(data)\n",
    "weights = map_estimates['weights']\n",
    "locs = map_estimates['locs']\n",
    "scale = map_estimates['scale']\n",
    "print('weights = {}'.format(weights.data.numpy()))\n",
    "print('locs = {}'.format(locs.data.numpy()))\n",
    "print('scale = {}'.format(scale.data.numpy()))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The model's `weights` are as expected, with about 2/5 of the data in the first component and 3/5 in the second component. Next let's visualize the mixture model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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UlMO25cuX24sjV7vez/lmP/+CdLNj51zPn376KWFhYbn2+/Py5tdrzxWcef/y+t799NNPAFy+fJn9+/fnuh6u53pFWM7CHX/m7e3t0NMLf7y377zzDnfeeec1X5eX3+1bva5cWVBarVY6dOjACy+8cM3na9Wq5bJjiYhrqLgSkSIlZ6J7TiGVMxzL09PT5YVKixYtaNGiBa+//jqff/45jz76KF988QUDBw685v43+tDk7u5Onz59mDlzJm+99RbffPMNgwYNuumH46pVqwKwd+9eh6FnmZmZHD58ON/nfKOsMTExzJgxgy+++ILs7GxatWqFm5sbbdq0sRdXrVq1smcPDQ2lTJky7N27N1dbe/bswc3NjYiICLy8vFiyZInD83fccQcBAQH4+/uzc+fOG2auWrXqdY+R87wr5fR0/K99+/ZRpkwZe29RXs7bGdWrVwegfPnyLrueC6p3yFnbt2/n1VdfZcCAAWzbto2BAweyY8cOe88PXD9rTo/Nn2/Q7UzPbc576+/vb8ofNapWrYrVamX//v0Of1BITEwkOTnZfv3m/Lt//36H3/mkpKRcPYTVq1cnLS2tSP6RRkSuTcMCRaTIWLZsGRMmTCAqKsq+tHL58uVp164dH374IadOncr1mmstc30zFy5cyPXX5py/dN9oaGDO3Kk/fwDM8dhjj3HhwgUGDx5MWloaf/nLX26aJTY2Fi8vL9577z2HTP/5z39ISUnh3nvvvWkbzmbNGe731ltv0bBhQ/uH35iYGOLj49m8ebN9H7AVjh07duTbb7/lyJEj9u2JiYl8/vnntGnTBn9/f3x8fIiNjXV4BAUF4ebmRrdu3fj+++/ZvHlzrjw5592lSxc2btzIunXr7M+lp6fz0UcfERkZye23356v9+J61q1bR0JCgv3748eP8+2339KxY0fc3d3zfN7OiIuLw9/fnzfeeOOa8/3ycz3nrJR3veuyMFy9epX+/fsTHh7Ou+++y8yZM0lMTOTZZ5912O9612XVqlVxd3fPNYfogw8+yHOGJk2aUL16dSZNmkRaWlqu5/Pz3jqjS5cuALlW8MtZPTHndzk2NhZPT0/ef/99h9/5a63817NnT9atW2fvEfxfycnJueYRioj51HMlIqZYuHAhe/bsISsri8TERJYtW8aSJUuoWrUq3333ncNNSqdOnUqbNm1o0KABgwYNolq1aiQmJrJu3Tp+++03fvnlF6eOPWvWLD744AMefPBBqlevzsWLF/n444/x9/e3f0C6lpzFD/7+97/Tq1cvPD09uf/+++0fGBs1akT9+vWZO3cudevWpXHjxjfNEhoayujRoxk/fjydOnWia9eu7N27lw8++IBmzZrlqUC7Udbhw4cTFxeHu7s7vXr1AmzDKMPCwti7dy/Dhg2zv+auu+7ixRdfBHAorgBee+01lixZQps2bXjqqafw8PDgww8/5MqVK7z99ts3zfPGG2+wePFi2rZty5NPPkndunU5deoUc+fOZfXq1QQGBjJq1Chmz55N586dGT58OMHBwcyaNYvDhw8zf/78XMPAblX9+vWJi4tzWIodbPeLctV5/5m/vz/Tpk3jscceo3HjxvTq1YvQ0FCOHTvGjz/+SOvWrZkyZYpTbfr6+nL77bczZ84catWqRXBwMPXr17/pHDdXeu2119i2bRvx8fGUK1eOhg0bMmbMGF5++WW6d+9u/7263nUZEBBAjx49eP/997FYLFSvXp0ffvjBqTlFbm5u/Pvf/6Zz587Uq1ePAQMGUKlSJU6cOMHy5cvx9/fn+++/L5DzB1svbb9+/fjoo49ITk6mbdu2bNy4kVmzZtGtWzfuvvtuAPu9yiZOnMh9991Hly5d2Lp1KwsXLrTf4iHH888/z3fffcd9991H//79adKkCenp6ezYsYN58+Zx5MiRXK8REZOZsUShiJReOctA5zy8vLyMsLAwo0OHDsa7775rpKamXvN1Bw8eNPr27WuEhYUZnp6eRqVKlYz77rvPmDdvXq62/7zc95+XeU5ISDB69+5tVKlSxfD29jbKly9v3HfffQ7LchvGtZc2njBhglGpUiXDzc3tmsuyv/322wZgvPHGG069L1OmTDHq1KljeHp6GhUqVDCGDBliXLhwwWEfZ5Ziz8rKMoYNG2aEhoYaFosl1/LXPXr0MABjzpw59m2ZmZlGmTJlDC8vL+PSpUu52kxISDDi4uIMPz8/o0yZMsbdd99trF27Ns/nePToUaNv375GaGio4e3tbVSrVs14+umnjStXrtj3OXjwoNG9e3cjMDDQ8PHxMZo3b2788MMPDu3k/Dznzp3rsP16P/9rvW+A8fTTTxufffaZUbNmTcPb29to1KhRrqXA83reeb32/nd7XFycERAQYPj4+BjVq1c3+vfv73AN9uvXzyhbtmyuPDnn87/Wrl1rNGnSxPDy8rrpktzOvE/Xy/G/x9iyZYvh4eFhDBs2zGGfrKwso1mzZkZ4eLj9Wr7RdZmUlGQ8/PDDRpkyZYygoCBj8ODBxs6dO6+5FPu13pccW7duNR566CHjtttuM7y9vY2qVasaPXv2NOLj46/7GsNwzXV19epVY/z48UZUVJTh6elpREREGKNHj3a4jYRhGEZ2drYxfvx4o2LFioavr6/Rrl07Y+fOnUbVqlUdlmI3DNvy/aNHjzZq1KhheHl5GSEhIUarVq2MSZMmOSwZf7Ofu4gUDothFMIMXxGRUuLdd9/l2Wef5ciRI7lWHZOiw2Kx8PTTTzvdSyQiInIjmnMlIuIihmHwn//8h7Zt26qwEhERKYU050pE5Balp6fz3XffsXz5cnbs2MG3335rdiQRERExgYorEZFblJSURJ8+fQgMDOSll16ia9euZkcSERERE2jOlYiIiIiIiAtozpWIiIiIiIgLqLgSERERERFxAc25ugar1crJkycpV64cFovF7DgiIiIiImISwzC4ePEi4eHhN72hvYqrazh58iQRERFmxxARERERkSLi+PHjVK5c+Yb7qLi6hnLlygG2N9Df39/kNCIiIiIiYpbU1FQiIiLsNcKNqLi6hpyhgP7+/iquREREREQkT9OFtKCFiIiIiIiIC6i4EhERERERcQEVVyIiIiIiIi6g4kpERERERMQFVFyJiIiIiIi4gIorERERERERFygSxdXUqVOJjIzEx8eH6OhoNm7ceN19P/74Y2JiYggKCiIoKIjY2Nhc+/fv3x+LxeLw6NSpU0GfhoiIiIiIlGKmF1dz5sxh5MiRjB07loSEBO644w7i4uI4c+bMNfdfsWIFvXv3Zvny5axbt46IiAg6duzIiRMnHPbr1KkTp06dsj9mz55dGKcjIiIiIiKllMUwDMPMANHR0TRr1owpU6YAYLVaiYiIYNiwYYwaNeqmr8/OziYoKIgpU6bQt29fwNZzlZyczDfffJOvTKmpqQQEBJCSkqKbCIuIiIiIlGLO1Aam9lxlZmayZcsWYmNj7dvc3NyIjY1l3bp1eWojIyODq1evEhwc7LB9xYoVlC9fntq1azNkyBDOnTt33TauXLlCamqqw0NERERErs1qNfVv8yJFlqnF1dmzZ8nOzqZChQoO2ytUqMDp06fz1MaLL75IeHi4Q4HWqVMnPvnkE+Lj43nrrbf4+eef6dy5M9nZ2ddsY+LEiQQEBNgfERER+T8pERERkRJq8+ZsbrutEx4eIbz++k9mxxEpcjzMDnAr3nzzTb744gtWrFiBj4+PfXuvXr3sXzdo0ICGDRtSvXp1VqxYQfv27XO1M3r0aEaOHGn/PjU1VQWWiIiIyO9OnoSXX4aZM90xDH/gPC+//CDBwUsYMqS12fFEigxTe65CQkJwd3cnMTHRYXtiYiJhYWE3fO2kSZN48803Wbx4MQ0bNrzhvtWqVSMkJIQDBw5c83lvb2/8/f0dHiIiIiICL774NdWr72TGDDAM6NbtXcqWvR24xFNP3cucOdvMjihSZJhaXHl5edGkSRPi4+Pt26xWK/Hx8bRs2fK6r3v77beZMGECixYtomnTpjc9zm+//ca5c+eoWLGiS3KLiIiIlAapqVeYNGkoly8/R/PmV1i3Dr7+uiJHjmzC378NkELv3nH89NM+s6OKFAmmL8U+cuRIPv74Y2bNmsXu3bsZMmQI6enpDBgwAIC+ffsyevRo+/5vvfUWr7zyCtOnTycyMpLTp09z+vRp0tLSAEhLS+P5559n/fr1HDlyhPj4eB544AFq1KhBXFycKecoIiIiUhw988x/sVpP4ua2nSVLoEUL2/aQkDLs2PEDvr6NMIwz3HtvB/bvv/7iYSKlhenF1SOPPMKkSZMYM2YMd955J9u2bWPRokX2RS6OHTvGqVOn7PtPmzaNzMxMunfvTsWKFe2PSZMmAeDu7s727dvp2rUrtWrV4oknnqBJkyasWrUKb29vU85RREREpLjJyrLy+efvANC580j8/R0/R1WpEsCmTYvw8IgiO/sYY8cuNiOmSJFi+n2uiiLd50pERERKu5de+paJE7sBARw/fozKla/9mejll7fw+uu3UbduJLt2gcVSuDlFClqxuc+ViIiIiBRNU6a8DUCLFkOuW1gBvPBCE3x9I9m9GzZuLKx0IkWTiisRERERcfDBB6u5eHEt4MWHHz5zw339/aF7d9vXH36YXvDhRIowFVciIiIi4mDyZNv8qTp1+tGw4Y1vjwPw8MPngfuYObMKZ89mFHA6kaJLxZWIiIiI2O3aBfv3vwpsYurUl/L0mnvvDcTDYxeGcZ5XXvmqYAOKFGEqrkRERETEbupU278PP9yUe+6JzNNrPDzciImx3UZnzpwZBZRMpOhTcSUiIiIiAFitBj/+eAWAxx937rUTJvQDLFy4sIxVqw67PpxIMaDiSkREREQA+OmnvRw7FozF8jB33eXc3Xpat65KcHB7AF55ZVZBxBMp8lRciYiIiAgAH3/8E5BBYGAKfn7O37CqVy/b0MDVq2eSlWV1cTqRok/FlYiIiIgAsHr1TwC0bBmXr9dPmPAgEEB29lGmT9/gwmQixYOH2QFERERExHwpKZdJSloBwIAB+SuugoN9adBgDDt2+HD4cJQL04kUD+q5EhERERE+/HA1cAk3t4o89FCDfLfz5JMjgafYsuXm98cSKWlUXImIiIgIc+fahgRGRXXEzc35+VY52rWz/btmDWRmuiCYSDGi4kpERERE2LnTVlx17py/IYE5br8dgoIOkJHxEfPn73FFNJFiQ8WViIiISCl34oTB5cuPAu0YNqzDLbXl5ga+vqOAwcyc+bVL8okUFyquREREREq5JUsswIs0a7acWrVCbrm9Vq3aAbBly4pbbkukOFFxJSIiIlLK/WQbEUjcrY0ItOvdux0A586tJiPjqmsaFSkGVFyJiIiIlGKZmdn88MNsIMllxVXXrrdjsYQAGXz22WbXNCpSDKi4EhERESnFZs9OIC2tD1CLpk2zXdKmh4cbFSu2BWD+/BUuaVOkOFBxJSIiIlKKffbZYgAqVrwbHx93l7WreVdSGqm4EhERESnFtm9fB0DLlu1c2u4f867Wc/mya3rERIo6FVciIiIipZTVapCUtAmAzp2bu7Ttrl1vp1y5H4FjbN3quh4xkaJMxZWIiIhIKbV+/TEM4wzgQffud7q0bQ8PNzp06AIEsGKFS5sWKbJUXImIiIiUUvPn23qtfH0bEhjo4/L229rWtFBxJaWGiisRERGRUmr1altxFRnZrEDaj47OAP7O0qX36H5XUiqouBIREREppdzdnwY+58EHBxRI+02a+GCxTMNqXc5XX20vkGOIFCUqrkRERERKIasVdu6sAvSmV6/oAjmGh4cbQUFNAFi8OKFAjiFSlKi4EhERESmF9u6FixehTBmoW7fgjlOjRmMAtmzZWnAHESkiVFyJiIiIlEKffroSeIdatbbi4VFwx2nRwlZcHT2qnisp+VRciYiIiJRCP/wwF3gBN7dPC/Q4991nK67S03/h0qWsAj2WiNlUXImIiIiUQocO2VYKbNWqYFYKzHH33dWBcsBlFi7cU6DHEjGbiisRERGRUiYtLZP0dNscqG7dCra48vBwIyCgERDMunUnC/RYImZTcSUiIiJSynzzzQ4gEw27hWoAACAASURBVIsl6PeepYLVp8/3wFkyMzsW+LFEzKTiSkRERKSU+fFH25DA4OBmuLlZCvx4LVv6AxYStKaFlHAqrkRERERKmS1bbMVVnToFOyQwR2PbmhZs3Wq7v5ZISaXiSkRERKSUOX7cNt+qbdvCKa5q1wZ390dJT6/KTz/tLZRjiphBxZWIiIhIKZKWBleurAM20Ldvu0I5pocH+PoeAo6xYIHGBkrJpeJKREREpBRJSADD8KZSpebUrh1QaMeNjLSNDVy/XsWVlFwqrkRERERKkc2bbf82b164x23SxFZcHTyo4kpKLhVXIiIiIqXIZ5+9AQymfPlNhXrcuDhbcZWcnIDVahTqsUUKi4orERERkVJkz555wEcEBv5WqMe9//56gCeGkczq1UcK9dgihUXFlYiIiEgpceVKNpcu/QpAhw4NCvXYfn5e+Prajvn991sL9dgihUXFlYiIiEgpsWzZAeAKUIa2basV+vGjoloD0Rw54lHoxxYpDCquREREREqJpUt3AFC2bD08PAr/Y+DQoe8B60lL61roxxYpDCquREREREqJzZttxVV4eOEOCczR2LamBVu2gKE1LaQEKhLF1dSpU4mMjMTHx4fo6Gg2btx43X0//vhjYmJiCAoKIigoiNjY2Fz7G4bBmDFjqFixIr6+vsTGxrJ///6CPg0RERGRIm3/fltxVa+eOcVVw4bg5gZJSVc4duyqKRlECpLpxdWcOXMYOXIkY8eOJSEhgTvuuIO4uDjOnDlzzf1XrFhB7969Wb58OevWrSMiIoKOHTty4sQJ+z5vv/027733Hv/617/YsGEDZcuWJS4ujsuXLxfWaYmIiIgUORcunAegVStziitfX/D1vRcoy+zZK0zJIFKQLIZhbqdsdHQ0zZo1Y8qUKQBYrVYiIiIYNmwYo0aNuunrs7OzCQoKYsqUKfTt2xfDMAgPD+dvf/sbzz33HAApKSlUqFCBmTNn0qtXr5u2mZqaSkBAACkpKfj7+9/aCYqIiIgUAenpUK4cGEYKx475EBHhbUqO8PCHOHXqa7p1+ydffz3ClAwiznCmNjC15yozM5MtW7YQGxtr3+bm5kZsbCzr1q3LUxsZGRlcvXqV4OBgAA4fPszp06cd2gwICCA6Ovq6bV65coXU1FSHh4iIiEhJ8uuvtnlOoaEBphVWANWr1/s9zy7TMogUFFOLq7Nnz5KdnU2FChUctleoUIHTp0/nqY0XX3yR8PBwezGV8zpn2pw4cSIBAQH2R0REhLOnIiIiIlKk7bBNt6KBOSMC7Ro3rg/AyZMqrqTkMX3O1a148803+eKLL/j666/x8fHJdzujR48mJSXF/jh+/LgLU4qIiIiY79//fhVoj6/v16bmaNfO1nOVlrYLq1VLBkrJYmpxFRISgru7O4mJiQ7bExMTCQsLu+FrJ02axJtvvsnixYtp2LChfXvO65xp09vbG39/f4eHiIiISEmyd+8qYBkhIedNzdGhQy3AA0hl06bfTM0i4mqmFldeXl40adKE+Ph4+zar1Up8fDwtW7a87uvefvttJkyYwKJFi2jatKnDc1FRUYSFhTm0mZqayoYNG27YpoiIiEhJlpxsGxfYtq254wL9/Lzw9q4FwOLFGhooJYuH2QFGjhxJv379aNq0Kc2bN2fy5Mmkp6czYMAAAPr27UulSpWYOHEiAG+99RZjxozh888/JzIy0j6Pys/PDz8/PywWCyNGjOC1116jZs2aREVF8corrxAeHk63bt1MO08RERERs+zenYTVmghYuPfeembHITLyfvbubURSUpDZUURcyvTi6pFHHiEpKYkxY8Zw+vRp7rzzThYtWmRfkOLYsWO4uf3RwTZt2jQyMzPp3r27Qztjx45l3LhxALzwwgukp6fz5JNPkpycTJs2bVi0aNEtzcsSERERKa4WLLD1Wnl4VKN8+bImp4Hevd9k3Di4eNHsJCKuZfp9rooi3edKRERESpKHHnqXr78eQVhYN06dMndBC4D586F7d2jWDDZuNDuNyI0Vm/tciYiIiEjB27XL1nNVo4bJ67D/rl49gGx27NhHVpbV7DgiLqPiSkRERKSES0nxBUJo2rS+2VEAiIrKBoK5fLk269YdMzuOiMuouBIREREpwaxWSEt7HzjDwIHdb7p/YfD2dsfHpyoAS5bsNDmNiOuouBIREREpwY4cgfR08Pa2ULt20fnoV768bdXCTZu0HLuUHEXnN0xEREREXG77dtvaZXXrgofp60T/oVYt2xDFvXtVXEnJoeJKREREpASbNu1NoCpubv9ndhQHTZvaeq5On9awQCk5VFyJiIiIlGAHDuwGjnHbbVfMjuKgfXtbcXXp0m4yM7NNTiPiGiquREREREqwxMQ9ANx5Zx2Tkzi6665qgA9wmZUrD5sdR8QlitDIWxERERFxJavVID3dVly1aVO0iisvL3fKlx/KmTNlOXasjNlxRFxCPVciIiIiJdS2baeAi4A7d99dw+w4ucTFvQOM49SpcLOjiLiEiisRERGREmr5cluvladndcqV8zI5TW71bNOu2KUFA6WEUHElIiIiUkJt2mQrrm67rWgNCcxx++0GcJQNG1aaHUXEJZwursaOHcvRo0cLIouIiIiIuND584FAS2rUaGZ2lGsKCjoKRHLoUAcuX84yO47ILXO6uPr222+pXr067du35/PPP+fKlaK1rKeIiIiI2BhGH2Atjz/+stlRrqlFiyqAL5DJqlVaMVCKP6eLq23btrFp0ybq1avHM888Q1hYGEOGDGHTpk0FkU9ERERE8mmPbVQgdYrmqEA8PNzw9a0NwMqVe0xOI3Lr8jXnqlGjRrz33nucPHmS//znP/z222+0bt2ahg0b8u6775KSkuLqnCIiIiLihOTkbH77zTbCqHZtk8PcQGiorfJLSFBxJcXfLS1oYRgGV69eJTMzE8MwCAoKYsqUKURERDBnzhxXZRQRERERJ33//VagDJ6erQkONjvN9VWrZiuu9u9XcSXFX76Kqy1btjB06FAqVqzIs88+S6NGjdi9ezc///wz+/fv5/XXX2f48OGuzioiIiIiebR27R7ASpkynmZHuaE77rAVV6dPq7iS4s/p4qpBgwa0aNGCw4cP85///Ifjx4/z5ptvUqPGHzem6927N0lJSS4NKiIiIiJ5t2OHrVgJDy+iE65+17q1LV9a2m6sVsPkNCK3xsPZF/Ts2ZPHH3+cSpUqXXefkJAQrFbrLQUTERERkfw7csRWXNWuXbSLq/btawGjMYw6JCZaqVjR3exIIvnmdM9VztyqP7t06RKvvvqqS0KJiIiIyK05e9ZWXDVpUrSLq+BgX6Ki3gD6sn+/Cisp3pwursaPH09aWlqu7RkZGYwfP94loUREREQk/y5fzuLKlf0AtGtX1+Q0N5ezVPweTbuSYi5fPVcWiyXX9l9++YXgorwUjYiIiEgpsWbNESAT8KVFiwiT09xcZOR5IJ74+NVmRxG5JXmecxUUFITFYsFisVCrVi2HAis7O5u0tDT++te/FkhIEREREcm7gwcBHiMoyIqHxy3deadQXLw4H3iS5cs7AwvMjiOSb3kuriZPnoxhGDz++OOMHz+egIAA+3NeXl5ERkbSsmXLAgkpIiIiInmXklID+IS4OLOT5E10dB0++wwuXNC4QCne8lxc9evXD4CoqChatWqFp2fRvmeCiIiISGmVM3epTtFey8KufXtb0KysI5w/f4ngYF+TE4nkT576iVNTU+1fN2rUiEuXLpGamnrNh4iIiIiY65dfjgNZxaa4ql07BIslGDBYtmy/2XFE8i1PxVVQUBBnzpwBIDAwkKCgoFyPnO0iIiIiYh6r1SAh4Q6gDN7exWOYnZubBT8/WyW4enXxyCxyLXkaFrhs2TL7SoDLly8v0EAiIiIikn979iRhGBcACzExVc2Ok2dhYXW4eHEtv/yy2+woIvmWp+Kqbdu21/xaRERERIqW+Hhbz4+HRyS33VZ85i7VrFmH/fvh0CH1XEnx5fTanIsWLWL16j/uQTB16lTuvPNO+vTpw4ULF1waTkREREScs3GjrTgJCiomE65+16VLF+Df+Pi8aHYUkXxzurh6/vnn7QtX7Nixg5EjR9KlSxcOHz7MyJEjXR5QRERERPLu119txVVERPEqrjp2rAc8wfHjd2K1mp1GJH/yvBR7jsOHD3P77bcDMH/+fO6//37eeOMNEhISfv+Lg4iIiIiY5dgx25ylunWLV3EVFQVeXnDpEhw/DlWLz3QxETune668vLzIyMgAYOnSpXTs2BGA4OBgLcUuIiIiYrLkZFvPVXR0XZOTOMfDAypX3gJ8xOLFWtRCiieni6s2bdowcuRIJkyYwMaNG7n33nsB2LdvH5UrV3Z5QBERERHJm4wMg6ysx4FHiI0tXsUVwOXLbwCDWbhwsdlRRPLF6eJqypQpeHh4MG/ePKZNm0alSpUAWLhwIZ06dXJ5QBERERHJmwMHLMArBAV9QZ06IWbHcVpUlK0g3LtXPVdSPDk956pKlSr88MMPubb/85//dEkgEREREcmfPb+vYl63Llgs5mbJjwYN6rBmDZw4oeXYpXhyurgCsFqtHDhwgDNnzmD903Iud911l0uCiYiIiIhzVq8+ALhTu3ZV8jFAyXQtW9bhX/+CixdVXEnx5HRxtX79evr06cPRo0cxDMPhOYvFQnZ2tsvCiYiIiEjeffvtK8AXJCa+DTxvdhynxcbWBsBqTeTw4QtERQWZnEjEOU7/SeOvf/0rTZs2ZefOnZw/f54LFy7YH+fPny+IjCIiIiKSB0lJth6fxo2L1zLsOcLDy+HmZpvPHx+/1+Q0Is5zuudq//79zJs3jxo1ahREHhERERHJh6wsK5cu2QqSu+4qnsUVQEBAHS5cOMG6dbsZOLCF2XFEnOJ0z1V0dDQHDhwoiCwiIiIikk/r1x8DLgFexMREmR0n3+6+exywnHLlupkdRcRpTvdcDRs2jL/97W+cPn2aBg0a4Onp6fB8w4YNXRZORERERPLm559tQwK9vWvi45OvNcuKhHvuacNXX8GRI2YnEXGe0795Dz/8MACPP/64fZvFYsEwDC1oISIiImKSzZttxVVISPEdEghQ5/f4e7RgoBRDTg8LPHz4cK7HoUOH7P86a+rUqURGRuLj40N0dDQbN2687r67du3i4YcfJjIyEovFwuTJk3PtM27cOCwWi8OjTp3i/R8ZERERkZvZu9dWjURGFu/PPTVqZAEz2LfvRdLSMs2OI+IUp3uuqlat6rKDz5kzh5EjR/Kvf/2L6OhoJk+eTFxcHHv37qV8+fK59s/IyKBatWr06NGDZ5999rrt1qtXj6VLl9q/9/Aovl3jIiIiInnh4fEwEEK7dh3NjnJLIiLcgeEYRhorVvTnvvvqmh1JJM/ydXe5Tz/9lNatWxMeHs7Ro0cBmDx5Mt9++61T7fzjH/9g0KBBDBgwgNtvv51//etflClThunTp19z/2bNmvHOO+/Qq1cvvL29r9uuh4cHYWFh9kdISIhTuURERESKmzNnOgCv0a3bXWZHuSVubhbKlLH1vq1apbGBUrw4XVxNmzaNkSNH0qVLF5KTk+1zrAIDA685TO96MjMz2bJlC7GxsX+EcXMjNjaWdevWORvLwf79+wkPD6datWo8+uijHDt27Ib7X7lyhdTUVIeHSHFyMiGBkwkJZscQERGTXLgAiYm2r2vXNjeLK1SoYCuutm1TcSXFi9PF1fvvv8/HH3/M3//+d9zd3e3bmzZtyo4dO/LcztmzZ8nOzqZChQoO2ytUqMDp06edjWUXHR3NzJkzWbRoEdOmTePw4cPExMRw8eLF675m4sSJBAQE2B8RERH5Pr5IYdo+bx69qlQhokkTKjdpwqORkexduNDsWCIiUshWrz4JLKVixZOUK2d2mltXvbqtuDpwQMWVFC/5WtCiUaNGubZ7e3uTnp7uklC3onPnzvTo0YOGDRsSFxfHggULSE5O5ssvv7zua0aPHk1KSor9cfz48UJMLOK8X778kvsrVOCOHj2Yc/w4VsAAPj96lJ/uvRf+8hfQ/ehEREqNb775CejAlSv9zI7iEnfeaSuuEhNVXEnx4nRxFRUVxbZt23JtX7RoEXXr5n3CYUhICO7u7iTm9GH/LjExkbCwMGdjXVdgYCC1atW64Y2Pvb298ff3d3iIFFVnN28m5pFH+OHMGSzAIxERbJszh4TPP6d/RASDDAP++19o3hz0hwIRkVJh505bEVKpUvFeKTBHTIztPNLT92C1GianEck7p4urkSNH8vTTTzNnzhwMw2Djxo28/vrrjB49mhdeeCHP7Xh5edGkSRPi4+Pt26xWK/Hx8bRs2dLZWNeVlpbGwYMHqVixosvaFDFNVhYhzzzDp0CngAD2LFrEF8eOcUfPnjTq3ZsZx47hu2UL3HEHaRcu8M/27bFmZZmdWkRECtixY7biqqTcfqZduxrYPqamsn17/qeLiBQ2p9coHzhwIL6+vrz88stkZGTQp08fwsPDeffdd+nVq5dTbY0cOZJ+/frRtGlTmjdvzuTJk0lPT2fAgAEA9O3bl0qVKjFx4kTAtgjGr7/+av/6xIkTbNu2DT8/P2rUqAHAc889x/3330/VqlU5efIkY8eOxd3dnd69ezt7qiJFz5tvwtq1PODvzwPbtkFkZO59Gjcme/ZsWtWrx479+/Ho1Yth8+YVelQRESk8587tBqBZs5JRXPn7e1O58gp++y2S8+ddN6JJpKDl6wZQjz76KI8++igZGRmkpaVd855UefHII4+QlJTEmDFjOH36NHfeeSeLFi2yL3Jx7Ngx3Nz+6Fw7efKkw3yvSZMmMWnSJNq2bcuKFSsA+O233+jduzfnzp0jNDSUNm3asH79ekJDQ/OVUaSo2PnFFwSPG0c4wJQp1y6sfudety6Du3dn6Ny5vDB/Ph1+/JE6995bWFFFRKQQXbx4hatXDwFwzz0l555QjRrF8NtvsGcP3HOP2WlE8sZiGIYGsv5JamoqAQEBpKSkaP6VFAnpZ87QuHJlzl69yvf33EOrpUvBYrnhawyrlU7ly7P43DmalCnDuqQkPMuUKaTEIiJSWL7//le6dq0HlCM7OwU3txv//6G4eOEFeOcdGDYM3nvP7DRSmjlTG+Sp56pRo0ZYbvJBLkeC7rUj4nIvxsay7+pVwt3cqPPRRzctrAAsbm5MX7SIBs2bsyUjg9c6d2b8zz8XQloRESlMq1fb5luVLVunxBRWAMHBB4GZLFjgxXvvvWJ2HJE8ydOCFt26deOBBx7ggQceIC4ujoMHD+Lt7U27du1o164dPj4+HDx4kLi4uILOK1LqHN+wgX/9fg+5ma+/TnD16nl+baWmTflg6FAA3lq5kqTduwsko4iImKkZMJ1GjUaaHcSlgoISgdc4cuRjs6OI5JnTwwIHDhxIxYoVmTBhgsP2sWPHcvz4caZPn+7SgGbQsEApSl5s0YK3N2zg7sBAll244PTrDauV5uXKsTkjgwnt2/Py0qUFkFJERMzSty98+im8/jq89JLZaVznwIFz1KwZAsCpUxcJC/MzOZGUVs7UBk4vxT537lz69u2ba/tf/vIX5s+f72xzInID6WfO8NHGjQCMeOqpfLVhcXPjxYEDeRro+csvkJnpwoQiImK2Pb/fZ7eErMJuV6PGbVgstgXJ4uP3mZxGJG+cLq58fX1Zs2ZNru1r1qzBx8fHJaFExGbW8OEkGwbVPTy4b/z4fLfT/Z13mFKxIrXOnoW5c12YUEREzGS1Gmzf/jHwMzVqlLz7GpYrZ6sY167dY3ISkbxxein2ESNGMGTIEBISEmjevDkAGzZsYPr06bzyiiYbiriM1crpJUvwAp554AHcPPJ15wQbLy946il45RWYPBn69MnTohgiIlK0bd16kitXngTcqVYtw+w4LhceXofU1FVs3645w1I8ON1zNWrUKGbNmsWWLVsYPnw4w4cPJyEhgRkzZjBq1KiCyChSOi1cyKvnz3O0XDkenzr11tsbPJj1np48snkzaz/66NbbExER0y1fbuvR8fSsjp+fl8lpXK92bdt9uw4fVs+VFA/5+lN4z5496dmzp6uziMj/mjwZgLAnn4Tfb6x9S0JD+XdUFF/u24fx2mu0Gjz41tsUERFTbdpkKzpuu62ETbj6XePGdfj2Wzh37qDZUUTyxOmeKxEpeIcXLmTH0qXg5ma7e6KLPPPGGwB89dtvHFu3zmXtioiIOXbvthVXVaqUzOLq4YfvAg6Snb2J7Gyz04jcnIorkSLo9REjaAhMqFMHqlZ1WbsNHn6Ye4KCyAamjhjhsnZFRMQcJ07Yiqt69UpmcVWnTll8fKpx9ao7R46YnUbk5lRciRQxl86f54t9tiVn2w0Z4vL2n/m9zembNpF1+bLL2xcRkcKTkmJb6KFFi5JZXLm7Q61atq/3aNqVFAMqrkSKmIVvvkk6UMXdnTb5vLfVjXR55RVCLBbOGgYr3nvP5e2LiEjhOHnyItnZJwDo0KFkFlcAfn7zgT7897+fmR1F5KacLq6WL19eEDlE5HdffvEFAD0bNcLi5vq/f3j4+PBQ7doAzJ0xw+Xti4hI4Th2zBv4GX//6URFBZkdp8B4eGwHZpOQ8LPZUURuyulPbp06daJ69eq89tprHD9+vCAyiZRaGWfP8v3vv1c9hw4tsOP0GDCA+kC9Y8cgq+TddFJEpDQ4eNALuItGjQaYHaVANWxo65U7dUrjAqXoc7q4OnHiBEOHDmXevHlUq1aNuLg4vvzySzIzMwsin0ipsmDiRDKASA8Pmj72WIEdp/2zz7IjJIThGRmg3mgRkWIpZw5SnZI7IhCA1q1tJ3jxooorKfqcLq5CQkJ49tln2bZtGxs2bKBWrVo89dRThIeHM3z4cH755ZeCyClSKnwzbx4APRs3LpAhgTksnp7w8MO2b+bOLbDjiIhIwVm06FNgOmFhJ8yOUqDat7etaGEYZ9m796zJaURu7JY+vTVu3JjRo0czdOhQ0tLSmD59Ok2aNCEmJoZdu3a5KqNI6ZCezr/PnOFbYOCoUQV/vJ49SQfmzZ7N1YyMgj+eiIi41I4dbwFP4OGxw+woBSo0tCzu7lUAiI/fa3IakRvLV3F19epV5s2bR5cuXahatSo//fQTU6ZMITExkQMHDlC1alV69Ojh6qwiJduPP+Jz+TJdq1WjZrduBX44IyaGBm5u9EhLY8W77xb48URExHUuX87iypX9ALRrV8LHBQKBgbZz3LBBQwOlaHO6uBo2bBgVK1Zk8ODB1KpVi61bt7Ju3ToGDhxI2bJliYyMZNKkSezRzQhEnPPll7Z/H3kELJYCP5zF05O43wfqfzlzZoEfT0REXGf16sNAJuBLixZVzI5T4CIi6gIeHDqUZHYUkRtyurj69ddfef/99zl58iSTJ0+mfv36ufYJCQnRku0iTkg7fZo7v/qKV4ArhdBrlaPnE08A8NX+/RoaKCJSjKxcafsjtq9vbTw8Sv5tS/v2fRXIICCgEIbNi9wCp38bx44dS48ePfD29nbYnpWVxcqVKwHw8PCgbdu2rkkoUgr88MYb/GIYfOHpiVfTpoV23LuGDqW8xcJ5w2DZP/9ZaMcVEZFbk5BgK65CQ0v+kECAxo39AU80MEqKOqeLq7vvvpvz58/n2p6SksLdd9/tklAipc3c+fMBeKR58wJdJfDP3L28ePj22wH4ctasQjuuiIjcmn37bFVGtWqlo7jKWW7+8GG4fNncLCI34vSnOMMwsFxjPsi5c+coW7asS0KJlCZXUlNZfPIkAA8NGVLox+8+wHbzye8PHMCqGwqLiBQLp0/biqucG+yWdOXLg5fXUKzW5ixevNvsOCLX5ZHXHR966CEALBYL/fv3dxgWmJ2dzfbt22nVqpXrE4qUcKs//JA0IMzNjUa9exf68WOGDKHcc8+RZBhsnzOHOx99tNAziIhI3hkGuLnNBXbTrVsDs+MUCosFvLw2k5m5iZ9/3kXXrnXNjiRyTXkurgICAgBbz1W5cuXw9fW1P+fl5UWLFi0YNGiQ6xOKlHAL58wBoHP16oU6JDCHZ5kyzG7Zkjrr1lH94MFCP76IiDjn7FlISQnHYgmnRQuz0xSeChXqkJa2gW3bNPFKiq48F1czZswAIDIykueee05DAEVcZMEO280fO993n2kZ7n38cVi3DhYuhDFjTMshIiI3t/v3UXFVq8L//K27xKtZsw4HD8KhQyqupOjK12qBKqxEXCNz3z6aZ2YSDnR45hnzgnTqZPt3wwbbn0RFRKTImjt3EfB3KlRYYXaUQtWokW0oYGKi5lxJ0ZWnnqvGjRsTHx9PUFAQjRo1uuaCFjkSEhJcFk6kpPOKj2cmYLRpg6VqVfOCVK7M11WrMuvoUfq+/joPaVl2EZEia+XKH4EpWK2ZQDuT0xSemJg6TJwIly7tISvLWiru7yXFT56KqwceeMC+gEW3QrzBqUiJt3AhAJYuXUwOAuvDwvj26FHKffutiisRkSLs+PFfAWjYsJ7JSQpX27bVsH10zWDLlhNER0eYHUkklzwVV2PHjr3m1yKSf1dSUti1ZAl3Am5FoLjq0rs3b2/YwKIjR7BmZeHmkecpmSIiUohSUnYB0KbN7SYnKVxlynji7V2bK1cuk5BwVsWVFEnqTxUxyc8ffECTy5dp5ukJDRuaHYdWgwbhD5w1DDZ/+qnZcURE5BoOHDiH1ZoIQFxc6VuOvHPnX4ADZGU1MjuKyDXlqbgKCgoiODg4Tw8RyZuFc+cC0CgqynYDD5N5lilDbHg4AAs/+cTkNCIici05N9B1d69CxYrlTE5T+OrWdQdgjxYMlCIqT+N+Jk+eXNA5REqdBTt3AtC5a1eTk/yhc2wsX33yCQs3bUIDgEVEip41a2xDAoODS9d8qxx16tj+3a0FA6WIylNx1a9fxZO/0QAAIABJREFUv4LOIVKqHFqxgn1Xr+IBxA4bZnYcu87DhsEnn7AxPZ2ze/cSUru22ZFEROR//PrrXgCqVCld861yBAYeBR5l5cpzgCosKXryNCwwNTXV4esbPUTk5hZ+8AEArQMCCKhSxeQ0f6jUtCmNfX1pDSR+843ZcURE5E+CgycBh+jde4TZUUzRvPltwBqys/ewd6/uyyhFT57nXJ05cwaAwMBAgoKCcj1ytovIzS36+WcAOrdsaXKS3DYMG8YqoN6OHWZHERGRP9m92w2Iok2bymZHMUVYmB8eHpEALFq0y9wwIteQp2GBy5Ytsy9WsXz58gINJFLSXc3IYMXvf6zo2LevyWly8+jcGd5+G+LjwTCKxGIbIiICFy7AqVO2r28vnaMCAQgOrs+ZM0dYu3YnzzzT1uw4Ig7yVFy1bdv2ml+LiPMsmzfzNbDK15c7evQwO05uLVuCry8XTp/GbcMGAlq0MDuRiIgA33yzFf6fvTuPi6pu+zj+mRl2EVyQRUVRM1cUReXGyg0XtFyq27VyyUxNy7LVyrW7MLU9c0990szMynJPTM1cc98VF8QFEBUQkHXO88cogYIIAr9ZrvfrdZQZrjl8Z86cmbnmLD/CKFfuMcqWNZ/jdUtbzZoNiY1dyZEjsuVKmJ8ijXN1/fp1pk2bxuDBgxk8eDCffPIJ165dK+5sQlglu82baQ9MfPxx8xyo19GRlz088AAWTp2qOo0QQohbNm7cDSzDzm616ihKBQSYzpQYFXVYcRIh7lbo5mrLli34+fnx5Zdfcv36da5fv86XX35JjRo12LJlS0lkFMK6bNxo+j8kRG2Oe6jaoAFGIHzbNtVRhBBC3HL48FEAqle34X0CgTZtGgJw48YRjEZNcRohcit0czVixAh69+7N2bNn+fnnn/n55585c+YMffr0YcSIESWRUQirkRIXx+tbtrASMLZtqzpOvkL69gVgU3Q0mampitMIIYQAOH/etBucv79tjnF1W6dOdYHqaFpzzp1LUR1HiFwK3VxFRETw+uuvYzAYsq8zGAyMHj2aiIiIYg0nhLX5e+5cPjUaGW4woKtdW3WcfDXp04dyOh2JwJ7vv1cdRwghBBAfb9py9cgjtr3lqlw5Jx5++BywljNnyqiOI0QuhW6umjZtyrE8hsU+duwYjRs3LpZQQlir8FtjR4X4+aHTF+mQx1JhcHCgrbc3AOFLlypOI4QQIjIyHqPxEgCdOtl2cwXQ4NbGu8Ny2JUwM/d1NP3Bgwezf37llVcYNWoUERER/OfWWcR27NjB9OnTmTx5csmkFMJKhN8aOyqkfXvFSQrW7pFH+OWnn9i4ezfvqg4jhBA2bt0601Yrg6Eqvr5uitOo17Ah/PILHDhwE3BWHUeIbPf11XlAQABNmjQhICCAvn37EhUVxVtvvUWrVq1o1aoVb731FpGRkfTr16/QAaZPn46fnx9OTk4EBQWxa9eufGuPHDnC008/jZ+fHzqdjs8///yB5ylEabl+9ix7Ukz7hoe8+KLiNAULGTAAgL+vXyc1Pl5xGiGEsG17914EHChXzraPt/rXn4A3P/3UTnUQIXK5ry1XZ8+eLZE/vnTpUkaPHs3MmTMJCgri888/p1OnTpw4cQJPT8+76lNSUqhZsyY9e/bktddeK5Z5ClFaNs2ciQbUdXCgctOmquMUqG6XLrzo4kKzlBSM27ZBly6qIwkhhM1ycekJPEnPnvJlF0BgoCcQQ1JSCkajhl4vA94L83BfW66qV69+31NhfPrppwwZMoRBgwZRv359Zs6ciYuLC99++22e9c2bN2fq1Kn06dMHR0fHYpmnEKUlfM0aAELq1FGc5P7o9HpmPfUUQwCXv/9WHUcIIWyaabxcOwIDPVRHMQshIbUxbSO4wc6dUarjCJGtyEfUHz16lLVr1/Lbb7/lmu5Xeno6e/bsoX2OY0/0ej3t27dn+/btRcpU1HmmpaWRmJiYaxKiuB05fRqAkM6dFScphNtjcYWHq80hhBA27qjpkKvsEznYOldXBxwdTV9W/vHHEcVphPjXfe0WmNOZM2d48sknOXToEDqdDk0zDd6m05k2x2ZlZd3XfOLi4sjKysLLyyvX9V5eXhw/frywsR5onmFhYUycOLFIf1OI+3LpEhtTUjgJVBk5UnWa+9euHceADbt20f/8edyrVVOdSAghbM758wlcuNAOqE/t2vMpwsc3q+Tp2ZCoqCPs3HkYsKAvLoVVK/SWq1GjRlGjRg1iY2NxcXHhyJEjbNmyhWbNmrFp06YSiFjyxowZQ0JCQvYUFSWbl0Ux27gRHVAnMBBXX1/Vae5ftWp0t7fnFU1j8+zZqtMIIYRNWrPmCLAXvX4jHh7SWN1Wu7ZpM96JE7LlSpiPQjdX27dvZ9KkSXh4eKDX69Hr9Tz66KOEhYXxyiuv3Pd8PDw8MBgMxMTE5Lo+JiYG71vj6xRWUefp6OiIm5tbrkmIYnV7t7rbu9lZkHYPPQTAxlWrFCcRQgjbtGnTAQAqVpTxRHNq1qwhAJcvy2BXwnwUurnKysqibNmygKmZuXTJNKBd9erVOXHixH3Px8HBgcDAQMJzHMthNBoJDw8nODi4sLFKbJ5CPCjNaCRw8WJ6AhctcKDtkNBQAMLzGDxcCCFEybs93mitWpb3HlKSOnRoBLQhPb0dRqPqNEKYFHrbcsOGDTlw4AA1atQgKCiIKVOm4ODgwOzZs6lZs2ah5jV69GgGDBhAs2bNaNGiBZ9//jnJyckMGjQIgP79+1OlShXCwsIA0wkrjt46ojM9PZ2LFy+yf/9+XF1deejWt+sFzVOI0hYRHs7ejAwOAQs7dlQdp9DaDh0Kn33G4bQ0Yg4fxqthQ9WRhBDCppw/b9py1ayZNFc5tW1bC0fHP0lLg7NnoVYt1YmEKEJz9f7775OcnAzApEmTeOKJJ3jssceoWLEiS5cuLdS8evfuzZUrVxg3bhzR0dEEBASwdu3a7BNSnD9/Hr3+341rly5dokmTJtmXp02bxrRp02jdunX28V4FzVOI0ha+YAEAwe7uuHhY3il0PerUIcDZmf03b7Jx1iz6fvWV6khCCGEzMjONJCWZtlyZttSI2wwGqFcP9u83napemithDnTa7dP9PYBr165Rvnz57DMGWrrExETc3d1JSEiQ46/EA+vp68tPFy4wsW1bxm3cqDpOkbzRrBmf7NnD4IcfZm4hdv8VQgjxYDZuPE1IyEOAIzdvJuHkJCe0yOm552DRohu8/XYSkyf7qI4jrFRheoMij3MFEBUVRVRUFBUqVLCaxkqI4mTMzOTPixcBCOnVS3GaomvXtSsAf509qziJEELYlt27rwJ1cHFpLI1VHhISvgbc+OGH11VHEQIoQnOVmZnJ2LFjcXd3x8/PDz8/P9zd3Xn//ffJyMgoiYxCWKyDy5dzVdNwBVr07686TpG1HjaM1Xo9ezIyTDu2CyGEKBUpKS2A4/TsuU11FLMUEOAHQHT0QbVBhLil0M3Vyy+/zOzZs5kyZQr79u1j3759TJkyhXnz5hXqVOxC2ILwRYsAaFWpEvYuLorTFF0ZLy86BwfjCv+eVl4IIUSJu3WiQJo0MagNYqa6dg0AIC3tOPHxqYrTCFGE5ur7779nwYIFDB06lEaNGtGoUSOGDh3KvHnz+P7770sioxAWy/P8eYKAji1bqo7y4G6P0SXNlRBClJr9+02HxlvgSB6lIjCwCjqdB5DFb7/JeFdCvUI3V46Ojvj5+d11fY0aNXBwcCiOTEJYh4wMnjt9mh3AqIkTVad5YPEtWvA20HH5cjQZUEQIIUrchQuJnDtXDniEOnXSVMcxS3q9jvLlTVuvwsP3K04jRBGaq5EjR/LBBx+QlvbvSp6WlsaHH37IyJEjizWcEBZt1y5ITgYPD/D3V53mgbm0bs3XwB8ZGRz+5RfVcYQQwur9/vshIBGD4Tw+Po6q45itWrVMzdXevfsUJxHiPse5euqpp3Jd3rBhA1WrVqXxrW3UBw4cID09nZDbuw0JITj14494AW7t2oH+gU7MaRYcXF15rGJF1l29SviiRfg//bTqSEIIYdU2bzYNHlyxouwTeC/Nmzdh926IjJQtV0K9+2qu3N3dc11++o4PVb6+vsWXSAgrMXjBArYBP5Yvz1MFVluGkKAg1q1eTfj27byqOowQQli5AwdMzVWtWjJ48L107RrEN988T1paMEajVXyfKSzYfTVX8+fPL+kcQliV5NhYdiQmkgU0tuDxre4U0q8frF7N5pgYMlNTsXNyUh1JCCGs1oULplMFNm8uW67upUOHWjg7z+PmTYiIgIcfVp1I2LIi9/ZXrlxh69atbN26lStXrhRnJiEs3tY5c8gAqhkM1GzTRnWcYtO4Z0/K63TcAHZ/953qOEIIYbUyM40kJR0CoGNH2XJ1LwbDv4c275c9A4VihW6ukpOTef755/Hx8aFVq1a0atWKypUrM3jwYFJSUkoioxAWJ3zFCgBCatZEZ0X7JxgcHGjr4wNA+NKlitMIIYT1+vPP00Ay4ERISG3Vccxeo0bpwH7WrNmjOoqwcYX+1Dd69Gg2b97M77//Tnx8PPHx8axYsYLNmzfz+uuvl0RGISxO+JEjAIS0b684SfELeewxPAHdmTOqowghhNU6ciQdeBx39/Y4Od3XURw2LTn5W6AJK1e+rzqKsHGFbq6WL1/OvHnz6Ny5M25ubri5udGlSxfmzJnDTz/9VBIZhbAo106fZt+trbjtXnxRcZri98K77xINvHfpEty8qTqOEEJYpWvXGgAr+e9/f1cdxSKEhDQB4No1OR27UKvQzVVKSgpeXl53Xe/p6Sm7BQoBbJo1Cw2o7+iIT0CA6jjFzsHfH13lypCWBtu2qY4jhBBW6daJAmkkh1vdl+7d/QE9RmMMBw9Gq44jbFihm6vg4GDGjx9Pampq9nU3b95k4sSJBAcHF2s4ISxRUEwMM4A3Hn1UdZSSodNBSAgacPV3+UZVCCFKwr59ppOFNZYTBd4XDw8XHBxMpwn87Tc5q4VQp9A78X7++eeEhobeNYiwk5MT69atK/aAQliaKjt3Mgzg5ZdVRykxf1WtSi+g2ty57Pz8c9VxhBDCqpw/n0BUlCfgRa1ap4EyqiNZBB+fJkRGHmfr1n1AqOo4wkYVesuVv78/p06dIiwsjICAAAICApg8eTKnTp2iQYMGJZFRCMtx8SKcOGEawbB1a9VpSkyNJ58kGvgnOZn4yEjVcYQQwqosW2Y6452dnTNVq0pjdb/q1zftin/0qGy5EuoUastVRkYGQ4cOZezYsQwZMqSkMglhsTZPn85RILRhQ2qUK6c6Tomp2rw5D9vbczIjg82zZtH9o49URxJCCKuxYcNuALy9mytOYlkeeyyANWsgOlqaK6FOobZc2dvbs3z58pLKIoTF+/bHH3kJmO3iojpKiQupbRp3JXzVKsVJhBDCuhw8uAuARo2kuSqMp55qBoSRkfElSUmq0whbVejdAnv06MGvv/5aElmEsGia0Uj4uXMAhDz5pNowpSCkc2cAwk+cUJxECCGsS0yMactVhw7SXBVGnToVqFz5HaATBw+qTiNsVaFPaFG7dm0mTZrE33//TWBgIGXK5N4X+JVXXim2cEJYkpPr13MxKwtH4JEXXlAdp8S1HTYM3SefcDQtjcsHDuAjp7QSQogHdvhwDFlZUYCOXr0CVcexOE2awKVLsH8/tGypOo2wRYVurubNm0e5cuXYs2cPe/bsyfU7nU4nzZWwWeELFgDQslw5nCtUUBumFFR46CGaODuz9+ZNNs6ezTPTp6uOJIQQFu/HH01brRwc6lK5clnFaSxP7dpXgC388ouBl17qoTqOsEGFbq7Onj1bEjmEsHjhf/0FQEizZoqTlJ5BwcG027gR/0uXVEcRQgirEBtbDXiVBg0qqY5ikezt/wL+y9atjQFprkTpK/QxVzlpmoamacWVRQiLlZWRwZ+XLwMQ0ru34jSlZ+SbbzIVaLRvH8hrgRBCPLDz5xsBnzF48Luqo1ikPn3+A0Bq6iFiY5MVpxG2qEjN1bx582jYsCFOTk44OTnRsGFD5s6dW9zZhLAYp377jURNoyzQ7NlnVccpPY8+CnZ2EBkJZ86oTiOEEBZN02C3aa9Amsu5LIqkadPKGAy+gJElS/5RHUfYoEI3V+PGjWPUqFF07dqVZcuWsWzZMrp27cprr73GuHHjSiKjEGav7pkzXAU2PPIIdk5OquOUHldXkps3Zx2wU75gEUKIB3LgwDXi4jZjZ5eEnCOo6Ly9gwBYu3aH4iTCFhW6uZoxYwZz5swhLCyMbt260a1bN8LCwpg9ezbffPNNSWQUwvytX4870KJXL9VJSt00R0dCgWnffac6ihBCWLSFCzcAbXBwaIujo+o0lqtJE9OugQcOSHMlSl+hm6uMjAya5XHAfmBgIJmZmcUSSgiLkpwMW7aYfg4NVZtFgU7PPAPAHxcvkpmaqjiNEEJYrq1bTfsE+vnZzomRSkKXLqbmKiZmB0ajHA8sSlehm6vnnnuOGTNm3HX97NmzeebWhywhbMmaTz4hKD2drytUgNq1Vccpdc3796e8TkcCsGvhQtVxhBDCYp06ZWquWrSQA64eRO/eTQE7jMZodu6MUh1H2JgHOqHFCy+8wAsvvIC/vz9z5sxBr9czevTo7EkIW7B6+XJ2AYe9vUGnUx2n1BkcHOhYtSoAaxcvVpxGCCEsU3p6FgkJpvFDu3VroTiNZatQwZmHHloBnOH8eV/VcYSNKfQ4V4cPH6Zp06YAnD59GgAPDw88PDw4fPhwdp3OBj9kCtu07tgxAEK7dVOcRJ3QDh1Y+u23rN27l0mqwwghhAVau/YEkASU4fHH66mOY/E6depCRATs2gU2NEKKMAOFbq7+/PPPksghhEU6s2kTpzIysAPajRihOo4ynUaOhG+/5Z/kZOJOnMCjTh3VkYQQwqL8/rtpl0A3t6Y4OBgUp7F8QUEwfTrskHNaiFL2QIMIC2Hr1s2aBUBLd3fcbu0aZ4t8mjShkZMTGvCnnDVUCCEKbedOU3NVu7Ycb1UcmjZNA6ayY0cvkpLSVccRNkSaKyEewNpNmwDoFBSkNogZ+OrJJzkM/Pf6ddVRhBDC4mjaMOArunfvqTqKVahXzwGdbjJG4zKWLz+oOo6wIdJcCVFE6UlJbIyOBiC0f3/FadRr9cILNAB069eD0ag6jhBCWIy0NDh5siEwkn79/qM6jlXQ63V4eJi++Fy5UvYNFKVHmishiih+wwa6AHUNBgLkaFl45BEoUwZiYuCgfEsohBD3a/duSE8HT0+oWVN1GuvRsKGpUf3nH2muROmR5kqIIvLcuZOlwNE+fdDbFfrcMNbH0ZGNjRrRF/hm/HjVaYQQwmLMmvU7MJdmzaJscUSPEtOhg6m5unBBmitReqS5EqKo1q0DQNe5s+Ig5uN4tWr8ACzbskV1FCGEsBhr1nwNDMHZ+VfVUaxKv36m8cIyM09z4kSc4jTCVkhzJUQRJJw8ybF9+9AAOnRQHcdsdHrxRQC2xsdz49IlxWmEEML8paZmcvXq3wD06dNacRrrUr16ORwc6gKwZMlOxWmErZDmSogiWDFtGvWBbu7upp3kBQC12rXjIXt7MoGNX3+tOo4QQpi9JUv2AsnodOXp0aOh6jhWp1q1/wAO7NwZpTqKsBHSXAlRBL+tXg1AgL+/4iTmJ7Su6VvClT//rDiJEEKYv+XLNwPg5fUYdnbysay4DR8+FUgkJWWY6ijCRshaLEQhpcbHs/biRQC6DxmiOI356davHwC/nzqFMTNTcRohhDBvu3ebjlFt1qyV4iTWqVs3D8CR7dshJUV1GmELpLkSopA2fvEFyUAVvZ7AZ59VHcfstB45Encgxmhk57ffqo4jhBBmKz09i9jYvwDo2VOOtyoJtWqBry9kZMBff8kYjKLkSXMlRCGt+OEHALrVq4dOL6vQnRxcXXm8enWaASkbN6qOI4QQZmvlypNAAlCWXr0CVMexSjod+Pl9DzRi4sT3VccRNsAsPhlOnz4dPz8/nJycCAoKYteuXfesX7ZsGXXr1sXJyQl/f39W3zr+5baBAwei0+lyTaGhoSV5F4SNMGZm8tvJkwB079tXcRrztfCjj9gNhOzfrzqKEEKYrQsX6gFXCQpah5OTjJdYUurWzQQOcfBguOoowgYob66WLl3K6NGjGT9+PHv37qVx48Z06tSJ2NjYPOu3bdtG3759GTx4MPv27aNHjx706NGDw4cP56oLDQ3l8uXL2dOSJUtK4+4IK7d74UKijUbKAm1efll1HLNl98QTYG8PJ06YJiGEEHfZvBmgAj16BKuOYtWGDGkHQHLyP0RGJihOI6yd8ubq008/ZciQIQwaNIj69eszc+ZMXFxc+DafYzW++OILQkNDefPNN6lXrx4ffPABTZs25es7Tvvs6OiIt7d39lS+fPnSuDvCygWcOMEa4NNmzXB0c1Mdx3y5uUG7diQCJ+bOVZ1GCCHMjqbB7fHWW8m5LEpU8+ZVsbd/GDAyZ44Mci9KltLmKj09nT179tC+ffvs6/R6Pe3bt2f79u153mb79u256gE6dep0V/2mTZvw9PSkTp06DB8+nKtXr+abIy0tjcTExFyTEHlxXLWKUOCF115THcXs/V6jBh7AoJkzVUcRQgizs2rVceLiWmNnF0azZqrTWL/atU1br1atkl0DRclS2lzFxcWRlZWFl5dXruu9vLyIjo7O8zbR0dEF1oeGhvJ///d/hIeH8/HHH7N582Y6d+5MVlZWnvMMCwvD3d09e/L19X3AeyasUkQEHD0KdnbQpYvqNGav6eDBZAA7kpKIPnRIdRwhhDArixf/CWyhbNkNODioTmP9OnUyNVfHj8uJlkTJUr5bYEno06cP3bp1w9/fnx49erBy5Up2797Npk2b8qwfM2YMCQkJ2VNUlIziLe72f2PH8iZwMDAQypVTHcfsVWnWjGYuLmjA71Onqo4jhBBmZds20+5pAQFyCvbSMGRIGwBSUw9x5Ejex/ULURyUNlceHh4YDAZiYmJyXR8TE4O3t3eet/H29i5UPUDNmjXx8PAgIiIiz987Ojri5uaWaxLiTnNWr2YasFm2bN63Hi1bArBi3TrFSYQQwnwYjRoXLmwGoFs3OeCqNNSrV4myZbsAA9i4UUYTFiVHaXPl4OBAYGAg4eH/7v9qNBoJDw8nODjvM+cEBwfnqgf4448/8q0HuHDhAlevXsXHx6d4ggubc+X4cbbdOhav++jRitNYju4vvQTAhthYkvLZ1VcIIWzNTz8dxGi8DDjTv3+Q6jg244UXVgELOHzYT3UUYcWU7xY4evRo5syZw8KFCzl27BjDhw8nOTmZQYMGAdC/f3/GjBmTXT9q1CjWrl3LJ598wvHjx5kwYQL//PMPI0eOBCApKYk333yTHTt2cO7cOcLDw+nevTsPPfQQnTp1UnIfheX7bfJkjEATZ2eq3aORF7k16N6dmnZ2pAHrPvlEdRwhhDALc+asBMDLqz0VKjgrTmM72pkOu0LGtxclSXlz1bt3b6ZNm8a4ceMICAhg//79rF27NvukFefPn+fy5cvZ9S1btuT7779n9uzZNG7cmJ9++olff/2Vhg0bAmAwGDh48CDdunXj4YcfZvDgwQQGBvLXX3/h6Oio5D4Ky7fkt98A+O+jjypOYll0ej1PN2kCIGPNCSHELTt2mJqrDh26Kk5iW1q1Ar3eSETEPg4evKY6jrBSOk3TNNUhzE1iYiLu7u4kJCTI8VeCS3v3UjUwEA04u2ULfo89pjqSRTn288+se/ppejs44BMbC+7uqiMJIYQy0dFZ+Pj0A9axe/cRmjWrojqSTSlXrhMJCesZPHg+c+cOVB1HWIjC9AbKt1wJYe6WTpqEBjxStqw0VkVQ78knebV+fXzS0+Hnn1XHEUIIpdavNwBLCQiIk8ZKgQYNTIOKrV+/VnESYa2kuRKiAPo9e/AC+snYVkWj00G/fqafFy9Wm0UIIRRbadojkK5d7dQGsVHPP98NgKio1SQmpilOI6yRNFdC3MuJE4y6cIELej2Dp01TncZiaX37Mh9oHx7Opb17VccRQgglkpLSWb36BKDxxBOq09imAQOao9dXBm7w2WfhBdYLUVjSXAlxL99/D4BdaCiOVasqDmO5dDVrMrdsWcKBHyZOVB1HCCGUmDnzL5KT62Jv/xjNmqlOY5vs7PTUr98DgO+//0VxGmGNpLkSIh+a0cjWuXMxwr+7tYkie+bWbpXfb9igOIkQQqixZMkqAKpXr41ePoEp89xzTwJw6tQK0tOzFKcR1kZWbSHysXvhQh67dIl6Oh1Zsv/GA+s1cSJ2wJ6UFE6sWaM6jhBClLpDh0wHXPXoIe8pKo0c2RqdrjyadoVZs7apjiOsjDRXQuRj8RdfABBYrRoGOX34A/OoU4dOlSoBsDgsTHEaIYQoXevWnSQj4xRgz6hRHVTHsWkuLva0bPkVsJmIiJaq4wgrI82VEHnITE1l6aFDADwzcKDaMFakX8+eACzevh3NaFScRgghSs8335i2WlWo0JqqVWUMTdXeeOMZoBUrVhiQEV9FcZLmSog8bJg2jRijkYo6HR3fekt1HKvRffx4ygBnMjPZMXeu6jhCCFFqtmwxNVetW8sugeagY0dwdobISNi/X3UaYU2kuRIiDzO+/hqAfv7+2Lu4KE5jPcp4evJ0zZq0BQwrVqiOI4QQpWL//svEx28GYORIaa7MgYsL/Oc/+4GXeOedL1THEVZEmish7hC5dSsrY2IAeEmODSp2cxcuZCPQIjwc4uJUxxFCiBK3fr0nsJqqVcfRrl0t1XHELQ8/fAiYwebNsieFKD7SXAlxh1/Gj8cIhJQvT91bpw8Xxcf+kUcgMBDS0mDePNVxhBCiRGkafPedAejE++/LOH/m5O12R7kWAAAgAElEQVS3nwDsSEs7THh4hOo4wkpIcyVETqmpjNq/n23AR++8ozqNddLpYMQIooFPPv6YrPR01YmEEKLE7NsHhw+DoyP07q06jcipRo3yVKjQBoApU5apDSOshjRXQuT044/orl0j2NeXFqNHq05jtbJ69qSJTscb16+zatIk1XGEEKLEjBjxP+BN2rc/Q7lyqtOIO3Xv3heAjRvnkZkpZ7EVD06aKyFySPryS9MPQ4eCnZ3aMFbM4OrKc82aATB95kzFaYQQomQkJaWzc+cXwDRatDiuOo7Iw+TJvQE3MjNP89lnf6qOI6yANFdC3LLnu+/w2bOH1/R6tMGDVcexesOnTUMHrL96lZPr1qmOI4QQxe6jj9agaXHo9d689VZH1XFEHjw9y9Cw4bMAfPnlLMVphDWQ5kqIW6ZPmkQSEOvri87bW3Ucq1ejVSu6eHoCMGPMGMVphBCi+C1YsBCApk2fxclJ9oYwV2PHvghU4dKlRtw6WbAQRSbNlRDA1VOnWBJhOlPQCPmgX2pGvvwyAPP37SM5NlZxGiGEKD4nT8Zx+bJp4OB33x2gOI24l169GtOiRSRG4/ssXKg6jbB00lwJAXw2aBCpQBNnZ4KHDFEdx2Z0fOcdHrK3JwGYJY+7EMKKvPfeEiADZ+emPPlkQ9VxRAGGDjUAMHs2GOW8FuIBSHMlbF7ciRN88fffAIx9+WV0elktSovezo53+vXDEUjasAGSklRHEkKIB2Y0aqxa9S0AnTvLVitL0Ls3lC2byenTK5g1a4/qOMKCyadIYfOm9u9PEqatVj3CwlTHsTkDZszgdPXqjEtJga+/Vh1HCCEe2KpV6dy82RHwZvLkZ1THEfehTBl46KH3gB589NHHquMICybNlbBpqZGRzNu1C4BJb7whW60UsHN2psoHH5guTJ0KiYlqAwkhxAOaOtUR+JhXXomkdu2KquOI+/TOO/0AuHDhFw4fljNbiKKRT5LCpjl98QWHgCm+vjw+YYLqOLarXz+oW5dd167xg5wGXwhhwf76yzQ5OMBbbzmojiMKoVevxpQpEwRkMmLEN6rjCAslzZWwXZcuwYwZ+ABvzpkjW61UMhjY0rs3QcCwn37i+pkzqhMJIUSRDBo0DtjEgAEaVaqoTiMK68UXXwdgy5bPOHXqquI0whLJp0lhs86/+y6kpsIjj0BHGdxRtUfff59GTk4kAJ8895zqOEIIUWiLF+/l9OkPgBCee+6C6jiiCKZMeRpn5wDgBs88I8deicKT5krYpDObNlF74UK6AMljxoBOpzqSzdPb2THx1VcB+HzbNmIOH1acSAghCuftt00nRfLz68tjj/kqTiOKws5Oz9tvfwjA7t1fsXfvJcWJhKWR5krYHM1oZNjTT5MOZFSoQJnHH1cdSdzS/cMPaV6mDMnAK126qI4jhBD3bfXq41y8uByATz99R3Ea8SDGju1M2bItgQCmTo1XHUdYGGmuhM35btgw/rh2DSfgmx9+UB1H5KDT65k5axYG4MeoKH577z3VkYQQ4r6MHPkhoOHt3UMGDbZwer2ORYt+B7axfHl9zp1TnUhYEmmuhE2JPXKE1+bOBWBCaCi1O3RQnEjcqekzz/B6ixYADJ88mRsX5LgFIYR5+/TTPzl7dhEAH38sXwpZg27dKtChg46MDJg4UXUaYUmkuRI25dXHH+eaphHg7Mzo5ctVxxH5mLBmDf9xdORjoxHX22NgCSGEGUpMTOedd4YCUL/+cPr3b6Y4kSgu//sfQDwLFoxlxYojquMICyHNlbAZqyZMYElkJHpg7uzZ2Lu4qI4k8uFcoQLb1qzhWUA3ezZs2aI6khBC5GnKFHsyMsKwtw9kzZow1XFEMWrRAnx9Xwb+R79+A0lJyVAdSVgAaa6Ebbh2DZdvvsEPGN2sGYHPPqs6kSiArm1bGDIEgPMDBpAUHa04kRBC5Hb4MHz8sQ54miVLdlOtmrvqSKKYLV8ehk5XjpSUf+jc+X+q4wgLIM2VsH4ZGdCzJ22vXOGwnx8TV69WnUjcrylT2O7hQfNz53iuaVOMmZmqEwkhBACZmUYGDrxKZiZ07w5PPSVDelij5s2r8vLLMwHYsuVD5s7doTiRMHfSXAmrd3bQINi4EVxdKfPbb7hUqqQ6krhf5crBhx8SD/x6+TJjW7dWnUgIIQDo3ftr9uypg5PTD3z9tQyXaM2++KI31av3A7J46aXniI1NVh1JmDFproRV+6ZPH+ouXsx3AIsXg7+/6kiikIJffJG5Q00Hi3+0bRuLhg9XnEgIYeumTNnAzz+/Dlyla9c4qlZVnUiUtD///BqDoSoZGRG0bfuG6jjCjElzJaxW+NSpvLJ0KenApdBQ6NZNdSRRRM/NnMk7//kPAC/MnMn22bMVJxJC2KoVK47w9ttPA5lUr96XH34YoTqSKAU1apQnLGwBAEePrmL2bNl6JfKm0zRNUx3C3CQmJuLu7k5CQgJubm6q44gi2PrNNzwxYgQJwLM1avB/ERHo9PJdgiUzZmbylK8vK6KjqaTTsW7xYpr07as6lhDChhw8GE3TpkFkZZ3Hze1RoqI24ObmqDqWKEUhIZ+xceNT6PXV+eEH6NlTdSJRGgrTG8inTWF1fnvvPTrcaqwec3Njzt690lhZAb2dHYv27aOpszNXNI2P+/c3HUsnhBClIDY2meDgrmRlncfevjb//POrNFY2aMOG13jhheoYjdCvHyxZck11JGFm5BOnsCrzBg7kyY8+IhXo6uXF2tOncSpXTnUsUUxcvb3ZePw4r1atyrzMTAgNhaVLVccSQli5uDho2XI+KSn/oNNVZM2a1dSuXVF1LKGATgczZ5oaq8zMX+jXz48pUzaojiXMiDRXwjpkZcGkSRxduBAj8Hzt2vx87hwuHh6qk4li5l6tGp9FRFCmZ0/IyEDr04d1L76IZjSqjiaEsEKHDkHz5nD69DDs7HoxffoKQkIeUh1LKGQwwMKFUKXKEuAGb7/dnZdeWqw6ljAT0lwJi5d15Ag8+iiMH89UYGmPHsw9fhw7JyfV0URJcXSEJUtgxAgmAaFz5tDew4MzmzapTiaEsCIffbSZ4OB0zp2DWrXsOHBgKcOHP6I6ljADdnZw9Oh3eHo+DqQwY8azPPzw83KadiHNlbBcmampfNy5M839/UndsQPc3NDPn0+vX36RY6xsgcEAX31Fxf/+F2dg4/Xr+Ldty1f//a8MNiyEeCCRkfE0bfoa773XluTkEbRtq7FzJ9SvrzqZMCdubo5ERa2gbduJgJ5Tp+bj69ucX345rDqaUEg+gQqLk5mayg+vvELT8uV5Z+1a9mkaixs2hCNHYOBA1fFEadLpGLlsGYfCw2nt7k4K8Mry5QS5u/PrmDHSZAkhCiU9PYt+/WZSo0Zt9u37HNBo0MCe1auNVJRDrEQeHBwMbNw4js8+C0ev9yE9/RhPPdWC55+P4+JF1emECtJcCYuRGh/PrGeeoU7ZsvT96isOpabiDswfPJjnDxxARnG0XbXatWNjXBzf9OmDK/BPSgpPTp7M215eMH8+pKerjiiEMGPXrt1k+PBFuLs3ZcmS4WhaHA4O9fjf/9Zy+PA3ODkZVEcUZu7VV9tw8OD+W7sJ9mT+fA9q1YLXXoMzZ5JUxxOlyCyaq+nTp+Pn54eTkxNBQUHs2rXrnvXLli2jbt26ODk54e/vz+rVq3P9XtM0xo0bh4+PD87OzrRv355Tp06V5F0QJeXmTfjlF1L79KFKhQoM+/57zmRmUlGnY1K7dpyJiGDg3LmyG6BAb2fH8CVLiDh0iHdbtqQc0P/aNXj+efD2Zl+3bqwcN460xETVUYUQZkDTYO9eGDkSqlT5kpkznyM19SA6XXmefvpLrl8/wHvvdVIdU1iQBg08iYlZybp1s3n0UUhLg88/P06tWpXw9HycYcO+48IFeQ+yeppiP/zwg+bg4KB9++232pEjR7QhQ4Zo5cqV02JiYvKs//vvvzWDwaBNmTJFO3r0qPb+++9r9vb22qFDh7JrJk+erLm7u2u//vqrduDAAa1bt25ajRo1tJs3b95XpoSEBA3QEhISiuU+ivsXHxmprQ8L0ya2basNrlpV08qU0TTTe6DWAbRqBoP2+ZNPakn5PD8sxe7du7W2bdtqu3fvVh0lT+ae736kREdr2pQpmubjo2mgDQAN0MqC1tXLS/uwQwctfNo0LfHiRdVRhRClICMjS1u//qTWv/8crXr1vpqb2/zbby8aXNTs7B7S2rWbpJ08Gac6qqZp5v06bM7ZNM088hmNmrZunaZVrTpO49b7j2ly1CpV6qy1b/+h9sknG7XY2BRlGcX9K0xvoLy5atGihTZixIjsy1lZWVrlypW1sLCwPOt79eqlPf7447muCwoK0oYOHappmqYZjUbN29tbmzp1avbv4+PjNUdHR23JkiX3lUmaq5KRlZGhXT93TjMeO6ZpmzZp2tKl2vIBA7Rh9etrIeXLa9UNBk2X6wUILQ40rVo1TRs9WruyapWWlZGh+m4Ui5dfflkDtFdeeUV1lDyZe75CyczUtE2btLHNm2tV9Po73uTQdKDVtbfXjB06aNqIEZr22WfalkmTtC1ffaWdXL9eS4iKsprnnRDWLD09U7twIVk7elTT/vhD0+bNS9c6dPhQq1nzOc3FJVADlzvW/26ak5Om9emjaRs2aFpmplH1XcjFnF+HzTmbpplfvlWrjmlt2kzQHBzq3PUepNfv0urV07Ru3TStZ89wrW/fGdqECau07777R9u1K0pLSEhVHV9ohesNdJqmaaW0kewu6enpuLi48NNPP9GjR4/s6wcMGEB8fDwrVqy46zbVqlVj9OjRvPrqq9nXjR8/nl9//ZUDBw5w5swZatWqxb59+wgICMiuad26NQEBAXzxxRcF5kpMTMTd3Z2EhATc3Nwe8F4+mLkD/mLVrlVcvxmNaT0ETft3PB89BtpUf45bv2B/zHribkZxe7Ga/teyL3eo/gK6W7c9cGUDl5Mjbl36t+b2vDr4DsZOb4+mwcG4cC4kH89Ro6Fh+sIvy5hBZ+/ncTDaQ1Ym26+u4njybrK0DDKNGaQaU0jTbpJGOqDxOm/jggsAq1nJHnbnus/l9RWpUrY+VX2C8G8xGKdqddCyUxddcTzTH2QeCQmRJCfHodPpWLq0Mykpsbi4eNK79xo0TcPFxQN39+olmuFe80hIiOTmzThAx7Jl/+br2XMNoOHs/G8+1Y9lUeehGbOIPrqeSxF/cCnmHy4nHSVRu0oFPBnEm9l13/E5seQ+EtkeB+xxwt3gQb/y48DBHuzt+SvhR+IzL6PTGdDp9Oh1drf+N+BoV5ZWVYaaRp3U6zgYt5KEtGh0upzPZ9PPer09wVUGZV97NG4t8akX8r4jOh0tq76QfdvjVzdw7ea57Mt3alF5IAa9HQAR17cQlxKRZx1AU59nsDeYhjE4c30rsUnH861t4tMHRztXAM7Fb+fyjfzPkNXIqycu9uUBiErYzYXEvTl+q+X4F/y9nsLVwROAi4n7OJ+wI9/51q/UHXenygBcvnGQM9e35ltbz+MJyjubnsMxSUc5fX1jnnUaUKdiKBVdTGMZxaWc5GTcuhy/z/3Eq12hA56u9QC4dvMMR2NX5puhZvm2+JRtBEB86nmOxC7PN4NfuVZUcQsE4EbaZQ7ELMl3vtXcg6nmHgxAcvoV9l7+v3xrq5RtTo3yrQG4mRHPnstz8s3g49qEWhXaA5CelcTOC9Pzna+Xqz8PV+wCQKYxje1Rn+W7jlYqU4+6Hqb3fU0zsvX85Bx/N/eNyjnVoWb5fqRm2pGWZWB71GAyjWlkGtPJMqaRaUwmS0sEEoAngN9z3ANnIC3H3Bxwc2xMgHd9ejWoyuCmzjjZZ+V7n0pbZHw8cSkp6IDOixYRm5yMZ5kyrHn2WTTAw8WF6uXKSTYLzAdgNGr8fCyDxQfj2HPpHJeTIsg0HgUcblW8AMzL45bO6HCmitsO3BzdKeOQwfWbc0lM24SjwRG9zoBBr0ev06PX6dDr9AT7vkQZezf0Oo1z8Vu4dGMfBr0eg05/1ztFi6o9cbE3PTZnr+/ifMLBfO9Ds8o9KOtoOrtLZPwBzsbvyf7dnfNt4t0FdycvAC4kHuH0tfwP+2ns3YEKzlUAuHTjJCevbqesQ0U6Ne7KiB9b53u70lKo3qAEm7wCXbx4UQO0bdu25br+zTff1Fq0aJHnbezt7bXvv/8+13XTp0/XPD09NU0z7TYIaJcuXcpV07NnT61Xr155zjM1NVVLSEjInqKiosxmy1WLMoc0aHPXNx3/Ts45dmvQNOhyj1o0MOao7VlA7Y0ctQMLqI3OUTuigNrDOWpXafCuBvM12KrBlTvujzVNOR8D3R3/354kX+lP0Vru56SmwZMaPKRBWe3u5+9Dd9Q2yaPm9uR1R+1j96h1vaM29B61ujtqn7pHLRqk5Kh9roDauBy1wwqojcxRO7qA2qM5ascWUPtPjtrJBdRuzlH7ZQG1q3PUziug9qcctT8UULswR+1vBdR+k6M2vIDaaTlqdxRQOzFH7cECat/KUXu6gNqROWqjC6gdlKM2sYDaXjlqswqofSJHraaB0z1qH9Xcua7V57DWgXVafTpp7WmtvUULbTV+2k30ql9w7jnlvC+6O/6/PUk2y8yX3xRFFW0dHbSveUlry1OaJ800Z+poerw0sNNyP78Tctz0eS3/9QANLuSofaWA2pM5ascUULsvR+3/Cqj9O0ftZwXUrs9RO+vWdU21ug4Rqj+Ka5pWuC1Xpq8ybVxYWBgTJ05UHSNPTz12BcO+BiSkuwE6dLe/F9CZftbr7Gnps/XW1wU6jl5ryPVU1xzfjOtyfUseXHnbrcs6Tl5vwLVUJ25/16BDZ/qG/dbPgT77MOgdATgbX5+4lBdyzdcUQ4fB4EiDyqdxcLgCBgNXktuTmF4fg50TBjsnHJzL41CmIo5lPHB09cTOyTXHPexyayqY7sE3Ximdx/Hji9iwYSBGYyam1xKy/9fr7ejQYQF165ZshnvN49ixRaxfn3++jh0XUK9eyWZQMQ+dzgvwuuPan7N/ykhNJD3pKhkpCaTfjEfLSMfL9RxkpEN6BsejenMzvSNGYwaaMQujloVmzMRozMJe70Bzn79AM4LRyJ7LjYlPq3TH3zI9xgadPW2rbrh1lca+K7W5mup4R9W/lzr4rs++tD/OlyspXe+a520hVcIx6O0BjYNXK3E5pcvtP3PXN43tKm/GweAMwJHrblxIfjyfRw5aee/A2e4IACfinTmX9MQd8/v30iPee3G1PwdARIKBMze65TNXjf94HsLdIQaAs4mZnErsnm+G5pVOUd7RdCau80k3ORHfA51Oy7O2ScVIPJxXAXAxOZ6j13vk+r0uR95GFS7j5WKqjU6J5fC1p/LNUL/8NSqXMdVeuXmBA9eezndbex33ZHxdTVu2rqVdZl/cf/Odb233TKqXNdUmpF/hnys9862tWdZADTdTbVLGdXbF9sq3trqrCw+5m7bupGTeYEds73xrfcuU5+FyvwGQlnWTbdF98q31cfGhbnlTbaYxg7+i+wJ5b0/1dPKlQQVTraZpbL7cL9/5VnL2JshzGY6GTJwMGRy4OhAHvZEydjpc7HVUdNRR1VVH1TIavq4abg7v5Li1X77zNUeLTp1i4J9/kqlpd7wKg51Ox4K2baF2bcmWB3PPl5+qt6aOZDGCSsC/7xFGo8bZGwYup+i4mgpeLl9zM9OJ5ExH9sVV4kziYG5kZJJp1MjUNLI0jSyj6f8Wnn9jpy+DUdNzPL4c52/8F6OmkYXxrgzNKx3E2S4KgLOJLpxPyv3amPMVNdDjJK721wE4d8OeyDtqwfTeAtC44jncHUxn672QbOR0Yjfy28OiYYXLlHfcDMDl5DROJXbD1c6TzvXOA7UKfBzNiewWCKSlpZGW9u9uA4mJifj6+prFboHCuuzdu5fAwMC7rt+zZw9NmzZVkCg3c88nhBDWzpxfh805G5h/PmG5CrNboNLzVzs4OBAYGEh4eHj2dUajkfDwcIKDg/O8TXBwcK56gD/++CO7vkaNGnh7e+eqSUxMZOfOnfnO09HRETc3t1yTECVJf+vU8XozPYW8uecTQghrZ86vw+acDcw/n7Buyp91o0ePZs6cOSxcuJBjx44xfPhwkpOTGTTIdGB3//79GTNmTHb9qFGjWLt2LZ988gnHjx9nwoQJ/PPPP4wcORIw7ab26quv8r///Y/ffvuNQ4cO0b9/fypXrpxr65gQKnh6euLt7U1gYCAzZ84kMDAQb29vPD09VUcDzD+fEEJYO3N+HTbnbGD++YRtULpb4G1ff/01U6dOJTo6moCAAL788kuCgoIAaNOmDX5+fixYsCC7ftmyZbz//vucO3eO2rVrM2XKFLp0+fe4HU3TGD9+PLNnzyY+Pp5HH32Ub775hocffvi+8pjT2QKF9UlLS8PBwQGdToemaaSnp+Po6FjwDUuJuecTQghrZ86vw+acDcw/n7BMhekNzKK5MjfSXAkhhBBCCCHAgo65EkIIIYQQQghrIc2VEEIIIYQQQhQDaa6EEEIIIYQQohhIcyWEEEIIIYQQxUCaKyGEEEIIIYQoBtJcCSGEEEIIIUQxsFMdwBzdPjt9YmKi4iRCCCGEEEIIlW73BPczgpU0V3m4ceMGAL6+voqTCCGEEEIIIczBjRs3cHd3v2eNDCKcB6PRyKVLlyhbtiw6nU51nGKVmJiIr68vUVFRMkCyQrIczIcsC/Mgy8F8yLIwD7IczIMsB/OhcllomsaNGzeoXLkyev29j6qSLVd50Ov1VK1aVXWMEuXm5iYvEmZAloP5kGVhHmQ5mA9ZFuZBloN5kOVgPlQti4K2WN0mJ7QQQgghhBBCiGIgzZUQQgghhBBCFAPDhAkTJqgOIUqXwWCgTZs22NnJXqEqyXIwH7IszIMsB/Mhy8I8yHIwD7IczIclLAs5oYUQQgghhBBCFAPZLVAIIYQQQgghioE0V0IIIYQQQghRDKS5EkIIIYQQQohiIM2VEEIIIYQQQhQDaa6s3Llz5xg8eDA1atTA2dmZWrVqMX78eNLT0+95uzZt2qDT6XJNw4YNK6XU1mH69On4+fnh5OREUFAQu3btumf9smXLqFu3Lk5OTvj7+7N69epSSmq9wsLCaN68OWXLlsXT05MePXpw4sSJe95mwYIFdz33nZycSimxdZowYcJdj2ndunXveRtZH0qGn5/fXctCp9MxYsSIPOtlfSgeW7ZsoWvXrlSuXBmdTsevv/6a6/eapjFu3Dh8fHxwdnamffv2nDp1qsD5FvZ9Rtx7WWRkZPD222/j7+9PmTJlqFy5Mv379+fSpUv3nGdRXuNsXUHrxMCBA+96TENDQwucrzmsE9JcWbnjx49jNBqZNWsWR44c4bPPPmPmzJm8++67Bd52yJAhXL58OXuaMmVKKSS2DkuXLmX06NGMHz+evXv30rhxYzp16kRsbGye9du2baNv374MHjyYffv20aNHD3r06MHhw4dLObl12bx5MyNGjGDHjh388ccfZGRk0LFjR5KTk+95Ozc3t1zP/cjIyFJKbL0aNGiQ6zHdunVrvrWyPpSc3bt351oOf/zxBwA9e/bM9zayPjy45ORkGjduzPTp0/P8/ZQpU/jyyy+ZOXMmO3fupEyZMnTq1InU1NR851nY9xlhcq9lkZKSwt69exk7dix79+7l559/5sSJE3Tr1q3A+RbmNU4UvE4AhIaG5npMlyxZcs95ms06oQmbM2XKFK1GjRr3rGndurU2atSoUkpkfVq0aKGNGDEi+3JWVpZWuXJlLSwsLM/6Xr16aY8//niu64KCgrShQ4eWaE5bExsbqwHa5s2b862ZP3++5u7uXoqprN/48eO1xo0b33e9rA+lZ9SoUVqtWrU0o9GY5+9lfSh+gPbLL79kXzYajZq3t7c2derU7Ovi4+M1R0dHbcmSJfnOp7DvM+Judy6LvOzatUsDtMjIyHxrCvsaJ3LLazkMGDBA6969e6HmYy7rhGy5skEJCQlUqFChwLrFixfj4eFBw4YNGTNmDCkpKaWQzvKlp6ezZ88e2rdvn32dXq+nffv2bN++Pc/bbN++PVc9QKdOnfKtF0WTkJAAUODzPykpierVq+Pr60v37t05cuRIacSzaqdOnaJy5crUrFmTZ555hvPnz+dbK+tD6UhPT2fRokU8//zz6HS6fOtkfShZZ8+eJTo6Otdz3t3dnaCgoHyf80V5nxFFk5CQgE6no1y5cvesK8xrnLg/mzZtwtPTkzp16jB8+HCuXr2ab605rRPSXNmYiIgIvvrqK4YOHXrPun79+rFo0SL+/PNPxowZw3fffcezzz5bSiktW1xcHFlZWXh5eeW63svLi+jo6DxvEx0dXah6UXhGo5FXX32VRx55hIYNG+ZbV6dOHb799ltWrFjBokWLMBqNtGzZkgsXLpRiWusSFBTEggULWLt2LTNmzODs2bM89thj3LhxI896WR9Kx6+//kp8fDwDBw7Mt0bWh5J3+3ldmOd8Ud5nROGlpqby9ttv07dvX9zc3PKtK+xrnChYaGgo//d//0d4eDgff/wxmzdvpnPnzmRlZeVZb07rhF2p/jVRbN555x0+/vjje9YcO3Ys1wGVFy9eJDQ0lJ49ezJkyJB73vbFF1/M/tnf3x8fHx9CQkI4ffo0tWrVerDwQigwYsQIDh8+XOB+8MHBwQQHB2dfbtmyJfXq1WPWrFl88MEHJR3TKnXu3Dn750aNGhEUFET16tX58ccfGTx4sMJktm3evHl07tyZypUr51sj64OwVRkZGfTq1QtN05gxY8Y9a+U1rvj16dMn+2d/f38aNWpErVq12LRpEyEhIQqTFUyaKwv1+uuv3/PbRoCaNWtm/3zp0iXatm1Ly5YtmT17dqH/XlBQEGDa8qrHo3QAAASkSURBVCXN1b15eHhgMBiIiYnJdX1MTAze3t553sbb27tQ9aJwRo4cycqVK9myZQtVq1Yt1G3t7e1p0qQJERERJZTO9pQrV46HH34438dU1oeSFxkZyYYNG/j5558LdTtZH4rf7ed1TEwMPj4+2dfHxMQQEBCQ522K8j4j7t/txioyMpKNGzfec6tVXgp6jROFV7NmTTw8PIiIiMizuTKndUJ2C7RQlSpVom7duvecHBwcANMWqzZt2hAYGMj8+fPR6wu/2Pfv3w+Q64Vf5M3BwYHAwEDCw8OzrzMajYSHh+f6Bjin4ODgXPUAf/zxR7714v5omsbIkSP55Zdf2LhxIzVq1Cj0PLKysjh06JA894tRUlISp0+fzvcxlfWh5M2fPx9PT08ef/zxQt1O1ofiV6NGDby9vXM95xMTE9m5c2e+z/mivM+I+3O7sTp16hQbNmygYsWKhZ5HQa9xovAuXLjA1atX831MzWmdMEyYMGFCqf5FUapuN1bVq1dnxowZ3Lx5k6SkJJKSknB1dc2uadGiBS1atKBKlSqcPn2a6dOn4+rqSnp6Olu2bGHYsGH4+/vzzjvvKL5HlsHNzY2xY8fi6+uLo6MjY8eOZf/+/cybNw9XV1f69+/Prl27sg+8rFKlCu+//z5lypShQoUKfP311yxdupR58+bh6emp+N5YrhEjRrB48WJ++uknKleunP3cNxgM2NvbA9y1LCZNmkRaWho6nY6zZ8/yxhtvsHPnTmbNmkWlSpVU3h2L9cYbb+Do6AjA0aNHGTZsGLGxscycOZMyZcrI+lDKjEYjAwcO5Nlnn6Vjx465fifrQ8lISkri6NGjREdHM2vWLIKCgnD+/3bu2CWZOI7j+Pfh8qQjJAKRELpFGmq/UYeDBufgxoZoDZcmkbY2p/sD3IPGBqdbXWwXgqCpNYIbjurT8KDQo48tv3x65P2CW/wdcvrx9/vdB9TNTSuKwra3t+3t7c2urq7s4ODAiqKw8/Nzy/Pc0jS1jY3fXzKK49heXl4siiIz+3qfwWLLsgiCwI6Pj208HtvNzY0FQTDbN3zfN8/zzGw+i6/WOMxbloPnedbtdq1Sqdjr66uNx2M7PT21ra0t6/f7P39OrPS/CbFyg8FAZrbwmHp4eJCZKcsySdLj46OazaZ2dnZULpfVaDR0cXGh5+fnf/Qq/k9pmmpvb0++7yuKIo1Go9lYq9XSycnJp/Ovr6+1v78v3/d1eHio29vbFV/x+vnbZ38wGMzO+TOLTqczy61Wq6ndbuvu7m71F79GkiTR7u6ufN9XvV5XkiS6v7+fjTMfVms4HMrMNJlM5saYD98jy7KFa9H0vX5/f1ev11OtVlO5XFYcx3P5hGGoy8vLT48t22ew2LIspvdDi47pPZI0n8VXaxzmLcshz3MdHR2pWq2qVCopDEOdnZ3p6enp03P81DnxS5K+ub8BAAAAwNrjN1cAAAAA4ADlCgAAAAAcoFwBAAAAgAOUKwAAAABwgHIFAAAAAA5QrgAAAADAAcoVAAAAADhAuQIAAAAAByhXAAAAAOAA5QoAAAAAHKBcAQAAAIADlCsAAAAAcOADzWc0KeCqFH0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.arange(-3,15,0.1)\n",
    "Y1 = weights[0].item() * scipy.stats.norm.pdf((X - locs[0].item()) / scale.item())\n",
    "Y2 = weights[1].item() * scipy.stats.norm.pdf((X - locs[1].item()) / scale.item())\n",
    "\n",
    "pyplot.figure(figsize=(10, 4), dpi=100).set_facecolor('white')\n",
    "pyplot.plot(X, Y1, 'r-')\n",
    "pyplot.plot(X, Y2, 'b-')\n",
    "pyplot.plot(X, Y1 + Y2, 'k--')\n",
    "pyplot.plot(data.data.numpy(), np.zeros(len(data)), 'k*')\n",
    "pyplot.title('Density of two-component mixture model')\n",
    "pyplot.ylabel('probability density');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally note that optimization with mixture models is non-convex and can often get stuck in local optima. For example in this tutorial, we observed that the mixture model gets stuck in an everthing-in-one-cluster hypothesis if `scale` is initialized to be too large.\n",
    "\n",
    "## Serving the model: predicting membership\n",
    "\n",
    "Now that we've trained a mixture model, we might want to use the model as a classifier. \n",
    "During training we marginalized out the assignment variables in the model. While this provides fast convergence, it prevents us from reading the cluster assignments from the guide. We'll discuss two options for treating the model as a classifier: first using [infer_discrete](http://docs.pyro.ai/en/dev/inference_algos.html#pyro.infer.discrete.infer_discrete) (much faster) and second by training a secondary guide using enumeration inside SVI (slower but more general).\n",
    "\n",
    "### Predicting membership using discrete inference\n",
    "\n",
    "The fastest way to predict membership is to use the [infer_discrete](http://docs.pyro.ai/en/dev/inference_algos.html#pyro.infer.discrete.infer_discrete) handler, together with `trace` and `replay`. Let's start out with a MAP classifier, setting `infer_discrete`'s temperature parameter to zero. For a deeper look at effect handlers like `trace`, `replay`, and `infer_discrete`, see the [effect handler tutorial](http://pyro.ai/examples/effect_handlers.html)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([0, 0, 1, 1, 1])\n"
     ]
    }
   ],
   "source": [
    "guide_trace = poutine.trace(global_guide).get_trace(data)  # record the globals\n",
    "trained_model = poutine.replay(model, trace=guide_trace)  # replay the globals\n",
    "    \n",
    "def classifier(data, temperature=0):\n",
    "    inferred_model = infer_discrete(trained_model, temperature=temperature,\n",
    "                                    first_available_dim=-2)  # avoid conflict with data plate\n",
    "    trace = poutine.trace(inferred_model).get_trace(data)\n",
    "    return trace.nodes[\"assignment\"][\"value\"]\n",
    "\n",
    "print(classifier(data))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Indeed we can run this classifer on new data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "new_data = torch.arange(-3, 15, 0.1)\n",
    "assignment = classifier(new_data)\n",
    "pyplot.figure(figsize=(8, 2), dpi=100).set_facecolor('white')\n",
    "pyplot.plot(new_data.numpy(), assignment.numpy())\n",
    "pyplot.title('MAP assignment')\n",
    "pyplot.xlabel('data value')\n",
    "pyplot.ylabel('class assignment');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To generate random posterior assignments rather than MAP assignments, we could set `temperature=1`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([0, 0, 1, 1, 1])\n"
     ]
    }
   ],
   "source": [
    "print(classifier(data, temperature=1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Since the classes are very well separated, we zoom in to the boundary between classes, around 5.75."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "new_data = torch.arange(5.5, 6.0, 0.005)\n",
    "assignment = classifier(new_data, temperature=1)\n",
    "pyplot.figure(figsize=(8, 2), dpi=100).set_facecolor('white')\n",
    "pyplot.plot(new_data.numpy(), assignment.numpy(), 'bx', color='C0')\n",
    "pyplot.title('Random posterior assignment')\n",
    "pyplot.xlabel('data value')\n",
    "pyplot.ylabel('class assignment');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Predicting membership by enumerating in the guide\n",
    "\n",
    "A second way to predict class membership is to enumerate in the guide. This doesn't work well for serving classifier models, since we need to run stochastic optimization for each new input data batch, but it is more general in that it can be embedded in larger variational models.\n",
    "\n",
    "To read cluster assignments from the guide, we'll define a new `full_guide` that fits both global parameters (as above) and local parameters (which were previously marginalized out). Since we've already learned good values for the global variables, we will block SVI from updating those by using [poutine.block](http://docs.pyro.ai/en/dev/poutine.html#pyro.poutine.block)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "@config_enumerate\n",
    "def full_guide(data):\n",
    "    # Global variables.\n",
    "    with poutine.block(hide_types=[\"param\"]):  # Keep our learned values of global parameters.\n",
    "        global_guide(data)\n",
    "\n",
    "    # Local variables.\n",
    "    with pyro.plate('data', len(data)):\n",
    "        assignment_probs = pyro.param('assignment_probs', torch.ones(len(data), K) / K,\n",
    "                                      constraint=constraints.unit_interval)\n",
    "        pyro.sample('assignment', dist.Categorical(assignment_probs))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "...................................................................................................\n",
      "..................................................................................................."
     ]
    }
   ],
   "source": [
    "optim = pyro.optim.Adam({'lr': 0.2, 'betas': [0.8, 0.99]})\n",
    "elbo = TraceEnum_ELBO(max_plate_nesting=1)\n",
    "svi = SVI(model, full_guide, optim, loss=elbo)\n",
    "\n",
    "# Register hooks to monitor gradient norms.\n",
    "gradient_norms = defaultdict(list)\n",
    "svi.loss(model, full_guide, data)  # Initializes param store.\n",
    "for name, value in pyro.get_param_store().named_parameters():\n",
    "    value.register_hook(lambda g, name=name: gradient_norms[name].append(g.norm().item()))\n",
    "\n",
    "losses = []\n",
    "for i in range(200 if not smoke_test else 2):\n",
    "    loss = svi.step(data)\n",
    "    losses.append(loss)\n",
    "    print('.' if i % 100 else '\\n', end='')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pyplot.figure(figsize=(10,3), dpi=100).set_facecolor('white')\n",
    "pyplot.plot(losses)\n",
    "pyplot.xlabel('iters')\n",
    "pyplot.ylabel('loss')\n",
    "pyplot.yscale('log')\n",
    "pyplot.title('Convergence of SVI');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pyplot.figure(figsize=(10,4), dpi=100).set_facecolor('white')\n",
    "for name, grad_norms in gradient_norms.items():\n",
    "    pyplot.plot(grad_norms, label=name)\n",
    "pyplot.xlabel('iters')\n",
    "pyplot.ylabel('gradient norm')\n",
    "pyplot.yscale('log')\n",
    "pyplot.legend(loc='best')\n",
    "pyplot.title('Gradient norms during SVI');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can now examine the guide's local `assignment_probs` variable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "assignment_probs = pyro.param('assignment_probs')\n",
    "pyplot.figure(figsize=(8, 3), dpi=100).set_facecolor('white')\n",
    "pyplot.plot(data.data.numpy(), assignment_probs.data.numpy()[:, 0], 'ro',\n",
    "            label='component with mean {:0.2g}'.format(locs[0]))\n",
    "pyplot.plot(data.data.numpy(), assignment_probs.data.numpy()[:, 1], 'bo',\n",
    "            label='component with mean {:0.2g}'.format(locs[1]))\n",
    "pyplot.title('Mixture assignment probabilities')\n",
    "pyplot.xlabel('data value')\n",
    "pyplot.ylabel('assignment probability')\n",
    "pyplot.legend(loc='center');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## MCMC\n",
    "\n",
    "Next we'll explore the full posterior over component parameters using collapsed NUTS, i.e. we'll use NUTS and marginalize out all discrete latent variables."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sample: 100%|██████████| 300/300 [00:30<00:00,  9.99it/s, step size=1.69e-01, acc. rate=0.587]\n"
     ]
    }
   ],
   "source": [
    "from pyro.infer.mcmc.api import MCMC\n",
    "from pyro.infer.mcmc import NUTS\n",
    "pyro.set_rng_seed(2)\n",
    "kernel = NUTS(model)\n",
    "mcmc = MCMC(kernel, num_samples=250, warmup_steps=50)\n",
    "mcmc.run(data)\n",
    "posterior_samples = mcmc.get_samples()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "X, Y = posterior_samples[\"locs\"].t()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pyplot.figure(figsize=(8, 8), dpi=100).set_facecolor('white')\n",
    "h, xs, ys, image = pyplot.hist2d(X.numpy(), Y.numpy(), bins=[20, 20])\n",
    "pyplot.contour(np.log(h + 3).T, extent=[xs.min(), xs.max(), ys.min(), ys.max()],\n",
    "               colors='white', alpha=0.8)\n",
    "pyplot.title('Posterior density as estimated by collapsed NUTS')\n",
    "pyplot.xlabel('loc of component 0')\n",
    "pyplot.ylabel('loc of component 1')\n",
    "pyplot.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that due to nonidentifiability of the mixture components the likelihood landscape has two equally likely modes, near `(11,0.5)` and `(0.5,11)`. NUTS has difficulty switching between the two modes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pyplot.figure(figsize=(8, 3), dpi=100).set_facecolor('white')\n",
    "pyplot.plot(X.numpy(), color='red')\n",
    "pyplot.plot(Y.numpy(), color='blue')\n",
    "pyplot.xlabel('NUTS step')\n",
    "pyplot.ylabel('loc')\n",
    "pyplot.title('Trace plot of loc parameter during NUTS inference')\n",
    "pyplot.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
